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Vladimir Zakharov |
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PUBLICATIONS |
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Articles on mathematical and physical aspects
of nonlinear wave theory in plasmas, optics, solid state physics,
hydrodynamics, oceanology, geophysics, Gauge field theory and general
relativity. According to SSCI, the total number of citations since 1985 is
about 30 000; Hirsh index 74. |
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2018 A.I. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Non-Canonical Hamiltonian
Structure and Poisson Bracket for 2D Hydrodynamics with Free Surface, Journal
of Fluid Mechanics, submitted (2018); arXiv:1809.00707. A.I. Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E.
Zakharov, Dynamics of Poles in 2D Hydrodynamics with Free Surface: New
Constants of Motion, Journal of Fluid Mechanics, submitted (2018);
arXiv:1809.09584. Vladimir E. Zakharov, Sergei I. Badulin,
Vladimir V. Geogjaev, Andrey N. Pushkarev,
Weak-Turbulent Theory of Wind-Driven Sea, Earth and Space Science, submitted
(2018). Gang Xu, Andrey Gelash, Amin Chabchoub, Vladimir Zakharov, Bertrand Kibler, Nonlinear breather wave molecules. Submitted to
Phys. Rev. Letters. V. Zakharov, Analytic theory of wind-driven sea, IUTAM
Symposium Wind Waves, 4-8 September 2017, London, UK; Procedia IUTAM 26
(2018) 43-58. P. Nabelek, D. Zakharov, and V.
Zakharov, On symmetric primitive potentials, J. Integrable
systems, submitted (2018). V. Zakharov, D. Resio, A. Pushkarev, On the tuning-free statistical model of ocean
surface waves, Proceedings of the ASME 2018 37th International Conference on
Ocean, Offshore and Arctic Engineering, OMAE2018, June 17-22, 2018, Madrid, Spain. Zakharov D., Zakharov V. (2018) Non-periodic One-gap
Potentials in Quantum Mechanics. In: Kielanowski
P., Odzijewicz A., Previato
E. (eds) Geometric Methods in Physics XXXV. Trends
in Mathematics. Birkhuser, Cham. pp 221-233. 2017 A. Gelash, V. Lvov and V.
Zakharov, Complete Hamiltonian
formalism for inertial waves in rotating fluids, J. Fluid Mech., 831, pp.
128-150 (2017) DOI - 10.1017/jfm.2017.611 Vladimir Zakharov, Donald Resio,
Andrei Pushkarev, Balanced source terms for wave generation within the Hasselmann equation, Nonlin.
Processes Geophys., 24, 581-597 (2017) DOI - 10.5194/npg-24-581-2017 A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Super compact equation for water waves, J. Fluid Mech., 828,
661-679 (2017) DOI - 10.1017/jfm.2017.529 A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Envelope equation for
water waves, J. Ocean Engineering & Marine Energy, 3(4), 409-415
(2017) DOI - 10.1007/s40722-017-0100-z A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Statistics of freak
waves in numerical tank, Lobachevskii J. Math., 38(5), 888-892 (2017) DOI - 10.1134/S1995080217050080 V.V. Geogjaev, V.E.
Zakharov, Numerical and analytical calculations of the parameters of
power-law spectra for deep water gravity waves, JETP Lett., 106(3),
184-187 (2017) DOI: 10.1134/S0021364017150012 S. Badulin and V. Zakharov, Ocean swell within the kinetic equation
for water waves, Nonlin. Processes Geophys., 24, 237–253 (2017) DOI - 10.5194/npg-24-237-2017 A.V. Zakharov and V.E. Zakharov, Production, Redistribution, and Inequality, Modeling and Analysis
of Information Systems. Vol. 24, No 1, pp. 5-12 (2017) DOI: 10.18255/1818-1015-2017-1-5-12 2016 S. Dyachenko,
D. Zakharov, V. Zakharov, Primitive
potentials and bounded solutions of the KdV
equation, Physica D 333, 148-156 (2016) DOI - 10.1016/j.physd.2016.04.002 A. Pushkarev and V. Zakharov, Limited fetch
revisited: Comparison of wind input terms, in surface wave modeling, Ocean Modelling, 103, 18-37
(2016) DOI - 10.1016/j.ocemod.2016.03.005 A. Dyachenko, D. Kachulin, V. Zakharov, About compact equations
for water waves, Natural
Hazards, 84 (Suppl.2), 529-540 (2016) DOI - 10.1007/s11069-016-2478-7 A.O. Korotkevich, A.I. Dyachenko, V.E. Zakharov, Numerical simulation of
surface waves instability on a discrete grid, Physica D 321-322,
51-56 (2016) DOI - 10.1016/j.physd.2016.02.017 A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Probability Distribution Functions of Freak Waves: Nonlinear Versus Linear Model, Stud. Appl. Math., 137(2), 189-198 (2016)
A.I. Dyachenko, V.E. Zakharov, Spatial Equation for Water Waves, JETP Letters, 103(3), 181-184 (2016) DOI - 10.1134/S0021364016030048 A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, New compact equation for
numerical simulation of freak waves on deep water, J. Phys.: Conf. Ser. 681, 012028 (2016) DOI: 10.1088/1742-6596/681/1/012028 D. Zakharov, V. Zakharov, S. Dyachenko, Non-periodic one-dimensional ideal conductors
and integrable turbulence, Phys. Lett. A 380, no.
46, 3881-3885 (2016). DOI - 10.1016/j.physleta.2016.09.040 D.V. Zakharov, S.A. Dyachenko,
V.E. Zakharov, Bounded Solutions of KdV and
Non-Periodic One-Gap Potentials in Quantum Mechanics, Lett.
Math. Phys., 106(6), 731-740 (2016) DOI - 10.1007/s11005-016-0838-6 D.S. Agafontsev, V.E.
Zakharov, Integrable turbulence
generated from modulational instability of cnoidal waves, Nonlinearity, 29(11), 3551-3578 (2016) DOI - 10.1088/0951-7715/29/11/3551 2015 V. E. Zakharov, S. I. Badulin,
Paul A. Hwang and Guillemette Caulliez,
Universality of Sea Wave Growth and Its Physical Roots, J. Fluid Mech., 780,
503-535 (2015). B. Kibler, A. Chabchoub, A. Gelash, N. Akhmediev, V. Zakharov, Superregular
breathers in optics and hydrodynamics: Omnipresent modulation instability
beyond simple periodicity. Phys. Rev. X, 5, 041026 (2015). A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov, Evolution of one-dimensional
wind-driven sea spectra, JETP Letters, 102 (8), 513-517 (2015). V.I. Karas, A.M. Vlasenko, V.I.
Sokolenko, V.E. Zakharov, Nonequilibrium
kinetics of the electronphonon sybsystem
of a crystal in a strong electric field as a base of the electroplastic
effect, JETP 121(3), 499-508 (2015). D.S. Agafontsev and V.E.
Zakharov, Integrable turbulence and formation of
rogue waves, Nonlinearity, 28 (8), 2791-2823 (2015). A. Dyachenko, D. Kachulin, V. Zakharov Freak-waves: Compact Equation vs
Fully Nonlinear One, In: Extreme Ocean Waves, 2nd ed. Springer, E.Pelinovsky and C.Harif (Eds), pp. 23-44
(2015). D. Arkhipov, G. Khabakhpashev, V. Zakharov, Describing dynamics of
nonlinear axisymmetric waves in dispersive media with new equation, Phys.
Let. A, 379 (22-23), 1414-1417 (2015). A. O. Korotkevich and V. E.
Zakharov, Evaluation of a spectral line width for the Phillips spectrum by means of numerical simulation, Nonlin. Processes Geophys., 22,
325-335 (2015). D. S. Agafontsev V. E.
Zakharov, Intermittency in generalized NLS equation with focusing six-wave
interactions, Physics Letters A, 379 (40-41), 2586-2590 (2015). 2014 A.A. Gelash, V.E. Zakharov, Superregular solitonic
solutions: A novel scenario for the nonlinear stage of modulation
instability, Nonlinearity, 27(4), R1-R39 (2014). A.I. Dyachenko, D.I. Kachulin and V.E. Zakharov, Freak waves at the surface of
deep water, J. Phys. Conf. Ser., 510, 012050 (2014). V.E. Zakharov, R.V. Shamin,
A.V. Yudin, Energy portrait of rogue waves, JETP
Lett., 99 (9), 514-517 (2014). Y. Hadad, V. Zakharov, Transparency
of strong gravitational waves, J. of Geometry and Physics, 80, 37-48, 2014. V.E. Zakharov, A.V. Odesskii,
M. Cisternino, M. Onorato,
Five-wave classical scattering matrix and integrable
equations, Theor. Math. Phys., 180(1), 759764
(2014). 2013 A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, On the nonintegrability
of the free surface hydrodynamics, JETP Lett., 98(1), 43-47 (2013). V. Zakharov and A. Gelash,
Freak waves as a result of modulation instability, Procedia IUTAM, v. 9,
165-175 (2013). A.I. Dyachenko, D.I. Kachulin, V.E. Zakharov, Collisions of two breathers at
the surface of deep fluid, Nat. Hazards Earth Syst. Sci., 13, 3205-3210
(2013). V.E. Zakharov and A.A. Gelash,
Nonlinear stage of modulation instability, Phys. Rev. Letters, 111:5, 054101
(2013). V.E. Zakharov, V.I. Karas, Nonequilibrium Kolmogorov-type particle distributions and
their applications, Phys.-Usp. 56(1), 49-78 (2013). A. Pushkarev, V.E. Zakharov, Quasibreathers in the MMT model, Physica
D: Nonlinear Phenomena, 248 (1), 55-61 (2013). 2012 A. Dyachenko, V. Zakharov, A
dynamic equation for water waves in one horizontal dimension, Eur. J. Mech. B
32, 17-21 (2012). A. Newell, B. Rumpf, and V. E.
Zakharov, Spontaneous breaking of the spatial homogeneity symmetry in wave
turbulence, Phys. Rev. Lett. 108 (19), 194502 (2012) V.E. Zakharov and E.A. Kuznetsov,
Solitons and collapses - two scenarios of the evolution of nonlinear wave
systems, Physics - Uspekhi, 55(6), 535-556 (2012). A.I. Dyachenko, V.E. Zakharov,
D.I. Kachulin, Interaction of breathers in the 2-D
free surface hydrodynamics, Geophysical Research Abstracts, Vol. 14,
EGU2012-10588 (2012). V.E. Zakharov, A.I. Dyachenko,
Free-Surface Hydrodynamics in the conformal variables, arXiv:1206.2046. V.E. Zakharov and R.V. Shamin,
Statistics of killer-waves in numerical experiments, JETP Lett., 96 (1),
68-71 (2012). V. Zakharov and A. Dyachenko,
Numerical experiments and killer-waves, Fund. Appl. Hydrophysics,
5(1), 64-76 (2012) [in Russian]. 2011 V.E. Zakharov and S.I. Badulin,
On energy balance of wind-driven seas, Doklady Earth Sciences, 440(2), 1440-1444 (2011). A. Dyachenko, V. Zakharov,
Compact equation for gravity waves on deep water, JETP Lett., 93(12), 701-705
(2011). N. S. Erokhin and V. E.
Zakharov, Reflectionless Passage of an
Electromagnetic Wave through an Inhomogeneous Plasma Layer, Plasma Phys.
Reports, 37(9), 762-767 (2011). N. S. Erokhin and V. E. Zakharov.
Generation of Strong Splashes of the Field of an Electromagnetic Wave during Reflectionless Blooming of a Layer of a Nonuniform Medium, Dokl. Phys.,
56(7), 362-365 (2011). 2010 V.E. Zakharov and R.V. Shamin,
Probability of the occurrence of freak waves, JETP Lett., 91/2, 62-65 (2010). V.E. Zakharov, Energy balance in a wind-driven sea, Physica Scripta T142, 014052
(2010). V.E. Zakharov, A.I. Dyachenko
and R.V. Shamin, How
probability for freak wave formation can be found, Eur. Phys. J. - Spec. Top.,
185(1), 113-125 (2010). V.E. Zakharov, Domination of nonlinear wave interaction
in the energy balance of wind-driven sea, Low Temp. Phys., 36(8), 772-784
(2010). V. Zakharov and A. Dyachenko,
About shape of giant breather, Europ. J. Mech.
B/Fluids, 29(2), 127-131 (2010). V. Zakharov, Dynamics of vortex line in presence of
stationary vortex, Theor. Comput.
Fluid Dynamics, Special issue ”150 years of vortex dynamics”, 24(1-4),
377-382 (2010). Works before 2010: Surface Waves Theory 1. V.E. Zakharov, A.O. Korotkevich,
A.O. Prokofiev, On dissipation function of ocean waves due to whitecapping, AIP Conf. Proc.,
1168, 1229-1231 (2009). 2. V.E. Zakharov, A.I. Dyachenko, A.O.
Prokofiev, Freak waves: peculiarities of numerical simulations, In: Extreme Ocean Waves, 1-29 (2008) E.Pelinovsky
and C.Harif (Eds),
Springer, xiii,196 pp. ISBN 978-1-4020-8313-6. based on potential flow solutions, Phys. Lett. A, 372(8),
1297-1302 (2008); arXiv:0704.3352. 4. S. Badulin, A. Korotkevich,
D. Resio and V. Zakharov, Wave-wave interactions in
wind-driven mixed sea, Proceedings of the Rogue waves 2008 Workshop, October
13-15, 2008, pp. 77-86. water, JETP Lett., 88(5), 307-311 (2008). turbulent model for swell Evolution, Eur. J. Mech. B/Fluids,
27(4), 361-387 (2008). 7. V.E. Zakharov, A.I. Dyachenko,
Freak waves and giant breathers, ASME Conf. Proc. OMAE2008, Volume 2: Structures, Safety and Reliability, 1019-1024 (2008)
[Proc. ASME 2008 27th Int. Conf. on Offshore Mechanics and Arctic Engineering (OMAE2008),
June 1520, 2008, Estoril, 8. S.I. Badulin, A.V. Babanin, D. Resio and V.E.
Zakharov, Weakly turbulent laws of wind-wave growth, J. Fluid Mech., 591, 339-378 (2007). 9. V. Zakharov, A.O. Korotkevich, A.N.
Pushkarev, D. Resio,
Coexistence of weak and strong wave turbulence in a swell Propagation, Phys. Rev. Lett., 99,
164501 (2007); arXiv:0705.2838. Hasselmann equation, In:
Tsunami and Nonlinear Waves, 135-172 (2007). Ed. by Anjan
Kundu, Springer, 2007, xi,316 pp. ISBN: 978-3-540-71255-8;
physics/0702034. 11. V.E. Zakharov, A.I. Dyachenko,
A.O. Prokofiev, Freak waves as nonlinear stage of Stokes wave modulation instability, Eur. J. Mech. B/Fluids, 25(5), 677-692
(2006). 12. V.E. Zakharov, A.O. Korotkevich,
A.N. Pushkarev and A.I. Dyachenko,
Mesoscopic wave turbulence, JETP Lett., 82(8), 487-491 (2005); physics/0508155. 13. V.E. Zakharov, Theoretical interpretation of fetch limited
wind-driven sea observations, Nonlin. Process. Geophys., 12 (6), 1011-1020
(2005). 14. S.I. Badulin, A.N. Pushkarev, D. Resio and V.E.
Zakharov, Self-similarity of wind driven seas, Nonlin. Process. Geophys., 12(6), 891-945 (2005). Lett., 81(6), 255-259 (2005). 16. P.M. Lushnikov, V.E. Zakharov, On
optimal canonical variables in the theory of ideal fluid with free surface, Physica D 203 (1-2),
9-29 (2005); Errata - Physica D 206 (3-4), 275-275
(2005); nlin/0410054. 17. S. I. Badulin, A. V. Babanin, D. Resio and V.
Zakharov, Numerical verification of weakly turbulent law of wind wave growth // IUTAM Symposium on
Hamiltonian Dynamics, Vortex Structures, Turbulence, S. Mamaev, M. A. Sokolovskiy.
Springer, 2008. Vol. 6 of IUTAM Bookseries. Pp.
175-190. 18. V. Zakharov, F. Dias, A. Pushkarev,
One-dimensional wave turbulence, Physics Reports, 398 (1), 1-65 (2004). waves on the surface of deep fluid, Nonlin.
Process Geophys., 11 (3), 329-342 (2004). surface gravity waves, Phys. Rev. Lett. 92, 134501 (2004);
physics/0308099. Lett., 77(10), 546-550 (2003); physics/0308101. wave, JETP Lett., 77 (9), 477-481 (2003); physics/0308100. sea waves, Physica D 184 (1-4), 29-63
(2003). 24. V.E. Zakharov, Theoretical interpretation of fetch limited
observations of wind-driven sea, Proc. 7th Int. Workshop on Wave Hindcasting and Forecasting, 25, 2002, 286-294. 25. I. Lavrenov, D. Resio, V. Zakharov, Numerical simulation of
weak-turbulent Kolmogorov spectra in water surface waves, Proc. 7th Int. Workshop on Wave
Hindcasting and Forecasting, 26. S. Badulin, A. Pushkarev,
D. Resio, V.E. Zakharov, Direct and inverse cascade
of energy, momentum and wave action of wind-driven sea, Proc. 7th Int.
Workshop on Wave Hindcasting and Forecasting, 27. V. Zakharov, A. Dyachenko, and O. Vasilyev, New method for numerical simulation of a
nonstationary potential flow of incompressible fluid with a free surface, Eur.
J. Mech. B/Fluids, 21(3), 283-291 (2002). Freely decaying weak turbulence for sea surface gravity waves,
Phys. Rev. Lett. 89, 144501 (2002) [4 pages]; nlin/0201017. Physica D, 135(1-2),
98-116 (2000). nonlinear wave interaction, Preprints of 6th international
workshop on wave hindcasting and forecasting, 31. V. Zakharov, Statistical theory of gravity and capillary
waves on the surface of a finite-depth fluid, Eur. J. Mech. B/Fluids, 18 (3), 327-344 (1999). 32. V. Zakharov and A. Pushkarev,
Diffusion model of interacting gravity waves on the surface of deep fluid, Nonlin. Proc. Geophys., 6 (1), 1-10 (1999). 33. W. Perrie, V. Zakharov, The
equilibrium range cascades of wind-generates waves, Eur. J. Meck. B/Fluids, 18 (3), 365-371 (1999). 34. V.E. Zakharov, Nonlinear Waves on Surface of Ideal Finite
Depth Fluid, Amer. Math. Soc. Transl., 182(2), 167-197, (1998). Advances in Fluid Mechanics 17, 111-132 (1997) [Nonlinear Ocean
Waves, Chap.4. Ed. W. Perrie, WIT Press, 1997,
272 pp. ISBN: 978-1-85312-414-3]. 36. V.E. Zakharov, Modeling of ocean storms on cryogenic
installations, Proc. Conference on High- Reynolds Turbulence, Brookhaven, 1996. Ed. by R. Donelly, Springer-Verlag
(1997). ideal fluid, Plasma Phys. Repts.,
22(10), 829-840 (1996). 3323 (1996). 39. V.E. Zakharov, A.I. Dyachenko,
High-Jacobian approximation in the free surface dynamics of an ideal fluid, Physica D 98 (2-4),
652-664 (1996). (1-2), 80-84 (1996). free surface dynamics of an ideal fluid (canonical formalism and
conformal mapping), Phys. Lett. A 221 (1-2), 73-79 (1996). Physica D 87 (1-4),
233-261 (1995). Lett. A 190 (2), 144-148 (1994). 44. E.A. Kuznetsov, M.D. Spector, V.E.
Zakharov, Formation of singularities on the free surface of an ideal fluid, Phys. Rev. E 49 (2), 1283-1290 (1994). 45. E.A. Kuznetsov, M.D. Spector, V.E.
Zakharov, Surface singularities of ideal fluid, Phys. Lett. A 182 (4-6), 387-393 (1993). 47. V.E. Zakharov, Direct and inverse cascade in wind-driven sea
and wave breaking, Proc. IUTAM Meeting on Wave Breaking ( Verlag, 48. V.E. Zakharov, Within and beyond the weak turbulence theory
of wind generated waves, in ”Nonlinear Dynamics of Ocean Waves”, Proceedings of the
Symposium, The Johns University, Applied Physics Laboratory, 30-31 May, 1991, Eds. A.
Brandt, S.E. Ramberg, M.F. Shlesinger. World Scientific,
1992. pp. 46-54. 49. V.E. Zakharov, V.I. Shrira, On the
formation of the directional spectrum of wind waves, Sov. Phys. JETP 71(6), 1091-1100 (1990). 50. V.E. Zakharov, O.Yu. Lavrova, Izv, of the water surface in the weakly turbulent theory of wind
waves, Izvestiya Atmospheric and Oceanic Physics, 19, 207-212 (1983). and its action and fetch in the weak-turbulence theory of wind
waves, Izvestiya Atmospheric and Oceanic Physics, 19, 30-306 (1983). for a low-turbulence theory of wind waves, Izvestiya
Atmospheric and Oceanic Physics, 18, 821-827 (1982). theory of wind waves, Izvestiya
Atmospheric and Oceanic Physics, 18, 747-753 (1982). Nauk, 265 (3), 567-571
(1982). 56. V.E. Zakharov, A.V. Smilga,
Quasi-one-dimensional weak turbulence spectra, Sov.
Phys. JETP 54(4), 700-704 (1981). 57. V.E. Zakharov, Dynamics of a hurricane in the initial stage
of its evolution (in Russian), Izv. AN 58. V.E. Zakharov, V.G. Kharitonov,
Instability of monochromatic waves on the surface of a liquid of arbitrary depth, Zh. Prikl. Mekh. Tekh. Fiz., (1970), No 5,
45-49; English: J. Appl. Mech. Tech. Phys., 11(5), 747-751 (1970/1973). 59. V.E. Zakharov, Stability of periodic waves of finite
amplitude on the surface of a deep fluid, Zh. Prikl. Mekh. Tekh. Fiz.,
9(2), 86-94 (1968); English: J. Appl. Mech. Tech. Phys., 9(2), 190-194 (1968/1972) 60. V.E. Zakharov, N.N. Filonenko,
Weak turbulence of capillary waves, Prikl. Mekh. Tekh. Fiz., 8(5), 62-67 (1967); English: J. Appl. Mech. Tech. Phys., 8(5),
37-40 (1967/1971). 61. V.E. Zakharov, The instability of waves in nonlinear
dispersive media, ZhETP, 51(4), 1107-1114 (1966); English: Sov. Phys. JETP, 24,
740 (1967). 62. V.E. Zakharov, N.N. Filonenko,
Energy spectrum for stochastic oscillations of the surface of liquid, Doclady Akad.
Nauk SSSR, 170(6), 1292-1295 (1966); English: Sov. Phys. Dokl. 11, 881-884 (1967) Works before 2010: Inverse Scattering Method and its
Applications to the Field Theory and General Relativity 1. V.E. Zakharov, Application of inverse scattering transform to
classical problems of differential geometry, Contemporary Mathematics, 301, 15-35 (2002). 162 (2002). 3. V.E. Zakharov, Integration of the Gauss-Codazzi
equations, Theor. Math. Phys., 128(1), 946- 956 (2001). 4. V. Zakharov, How classical physics helps mathematics,
Geometric And Functional Analysis, Spec. Issue GAFA 2000. Visions in mathematics Towards 2000, Part
2, p.859-879. (Ed. by Alon, N. et al. 5. V.E. Zakharov, Description of the n-orthogonal curvilinear
coordinate systems and Hamiltonian integrable systems of
hydrodynamic type, I: Integration of the Lam´e
equations, Duke Math. J., 94(1), 103-139 (1998). 6. V.E. Zakharov, S.V. Manakov,
Reductions in systems integrable by the method of
the inverse scattering problem, Dokl. Math. 57(3),
471-474 (1998). with a shift, Inverse Problems, 10(4), 817-835 (1994). Analiz, 6(3), 40-58
(1994); [ 9. V.E. Zakharov, Dispersionless limit
of integrable systems in (2+1)-dimensions, in
Singular Limits of Dispersive waves (Lion, 1991), eds. N. Ercolani, I. Gabitov, D. Levermore, D. Serre; NATO Adv. Sci. Inst. Ser. B Phys., 320, Plenum, systems, in Important developments in soliton theory, eds. A. Fokas, V.E. Zakharov, Springer Series in Nonlinear Dynamics (Springer-Verlag,
Berlin, 1993), pp. 375-404. Nonlinear Sci., 2(1), 109-134 (1992). 12. V.E. Zakharov, A.V. Balk, E.I. Schulman, Conservation and
scattering in nonlinear wave systems, In: Development of the Theory of Integrability
for 10 Years. Springer, 1992. 13. V.E. Zakharov, E.I. Schulman, Integrability
of nonlinear systems and perturbation theory, In: What is integrability, Springer Ser.
Nonlinear Dyn., 185-250 (1991). dimensional covering method, Algebra i
Analiz, 3 (3), 49-56 (1991) [Russian]; Math. J., 3(3), 533540 (1992). 15. V.E. Zakharov, On the dressing method, In: Inverse methods
in action, Proc. Multicent. Meet., Montpellier/Fr. 1989 (Springer-Verlag,
Berlin, 1990), 602-623 (1990). 16. V.E. Zakharov, E.I. Schulman, On additional motion
invariants of classical Hamiltonian wave systems, Physica D 29 (3), 283-320
(1988). 17. S.P. Burtsev, V.E. Zakharov, A.V. Mikhailov, Inverse scattering method with variable
spectral parameter, Theor. Math. Phys., 70(3),
227-240 (1987). 18. V.E. Zakharov, E.A. Kuznetsov,
Multi-scaling expansion in the systems integrable
by the inverse scattering transform, Physica D 28 (1-2),
220-221 (1987). 19. V.E. Zakharov, E.A. Kuznetsov,
Multi-scale expansions in the theory of systems integrable
by the inverse scattering transform, Physica
D 18 (1-3), 455-463 (1986). 20. V.E. Zakharov, Shock waves propagating on solitons on the
surface of a fluid, Izv. Vyssh. Uchebn. Zaved. Radiofizika, 29 (9)
(1986), 1073–1079; Radiophysics and Quantum
Electronics, 29(9), 813-817 (1986). 21. V.E. Zakharov, S.V. Manakov,
Construction of higher-dimensional nonlinear integrable
systems and of their solutions, Funct. Anal.
Appl., 19(2), 89-101 (1985). 22. V.E. Zakharov, E.I. Shulman, The scattering matrix and the integrability of classical wave systems with an additional integral of motion, Sov. Phys. Dokl. 30(8), 671-672
(1985). 23. V.E. Zakharov, S.V. Manakov,
Multidimensional nonlinear integrable systems and
methods for constructing their solutions, Zap. Nauch.
Sem. LOMI, 133 (Differential geometry, Lie groups and mechanics. VI), 77-91 (1984); English: J. Sov. Math., 31 (6), 3307-3316 (1985). 24. V.E. Zakharov, B.G. Konopelchenko,
On the theory of recursion operator, Commun. Math. Phys., 94 (4), 483-509 (1984). 25. B.G. Konopelchenko, V.E. Zakharov,
On the theory of recursion operators, Physica D 11
(3), 405-405 (1984). 26. V.E. Zakharov, Multidimensional integrable
systems, Proc. Int. Congr. Math., August 16- 24, 1983,Warszawa 1983. Ed. by Z. Ciesielski,
C. Olech, Czes?aw,
North-Holland, Vol. 2, 1225-1243 (1984). 27. V.E. Zakharov, A.V. Mikhailov,
Method of the inverse scattering problem with spectral parameter on an algebraic curve, Funct. Anal.
Appl., 17(4), 247-251 (1983). 28. V.E. Zakharov, Lectures on the inverse scattering method,
Hungarian Acad. Sci., 1983, 58 pp. 29. V.E. Zakharov, Integrable systems
in multidimensional spaces, Lect. Notes Phys., 153, 190-216 (1982) [Mathematical Problems in Theoretical Physics, Ed. R.
Schrader et al, Springer, xii,429 pp, ISBN 978-3-540-11192-4]. 30. V.E. Zakharov, E.I. Schulman, To the integrability
of the system of two coupled nonlinear Schrdinger equations, Physica D 4 (2), 270-274 (1982). 31. V.E. Zakharov, Multidimensional integrable
systems, Uspekhi Mat. Nauk,
37:2 (224), 261-261 (1982). 32. S.V. Manakov, V.E. Zakharov,
Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse
Scattering Transform, Lett. Math. Phys., 5 (3), 247-253 (1981). 33. V.E. Zakharov, On the Benney
equations, Physica D 3 (1-2), 193-202 (1981). 34. V.E. Zakharov, A.V. Mikhajlov, Variational principle for equations integrable
by the inverse problem method, Funct. Anal. Appl.,
14(1), 43-44 (1980) 35. V.E. Zakharov, Benney equations
and quasiclassical approximation in the method of
the inverse problem, Funct. Anal. Appl., 14(2),
89-98 (1980). 36. V.E. Zakharov, The inverse scattering method, Top. Curr. Phys. 17, 243-285 (1980) [Solitons, Ed. by R. Bullough, P.J. Caudrey. Springer-Verlag, 1980,
xviii+389 pp]. 37. V.E. Zakharov, E.I. Schulman, Degenerative dispersion laws,
motion invariants and kinetic equations, Physica D 1 (2), 192-202
(1980). 38. V.E. Zakharov, A.V. Mikhailov, On
the integrability of classical spinor models in twodimensional space-time, Commun. Math. Phys., 74
(1), 21-40 (1980). 39. V.E. Zakharov, S.V. Manakov,
Soliton theory, Sov. Sci. Rev. Sect. A: Physics
reviews, vol.1, 133- 190 (1979). Ed. Khalatnikov I.M., pp. ISBN: 3-7186-0004-8. 40. V. Belinsky, V. Zakharov, The
Integration of Einstein’s Equations by the Method of Inverse Scattering and Exact Soliton Solutions, Sources of gravitational
radiation: Proc. Workshop, 41. V.A. Belinskii, V.E. Zakharov,
Stationary gravitational solitons with axial symmetry, Sov. Phys. JETP 50(1), 1-9 (1979). 42. V.E. Zakharov, L.A. Takhtadzhyan,
Equivalence of the nonlinear Schrodinger equation and the equation of a Heisenberg ferromagnet, Theor. Math. Phys., 38(1), 17-23 (1979). 43. V.A. Belinskii, V.E. Zakharov, Integration
of the Einstein Equation by Means of the Inverse Scattering Problem Technique and Construction of Exact Soliton
Solutions, Sov. Phys. JETP 48(6), 985-994 (1978). 44. V.E. Zakharov, A.B. Shabat,
Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II., Funct.
Anal. Appl., 13(3), 166-174 (1979). 45. V.E. Zakharov, A.V. Mikhailov, Relativistically invariant two-dimensional models of
field theory which are integrable by means of the
inverse scattering problem method, Sov. Phys. JETP 47(6), 1017-1027 (1978). 46. V.E. Zakharov, A.V. Mikhailov,
Example of nontrivial interaction of solitons in two-dimensional classical field theory, JETP Lett., 27 (1), 42-46 (1978). 47. S.V. Manakov, V.E. Zakharov, of the Kadomtsev-Petviashvili equation
and their interaction, Phys. Lett. A 63 (3), 205-206 (1977). B 73 (1), 53-57 (1978). Phys., 80, 229-234 (1978) [Mathematical Problems in Theoretical
Physics, Ed.G. Dell’Antonio et al. Springer, vi,438 pp, ISBN 978-3-540-08853-0]. duality equations for the Yang-Mills field, JETP Lett., 25(12),
567-570 (1977). 51. V.E. Zakharov, Exact solutions to the problem of the
parametric interaction of three-dimensional wave packets, Sov. Phys. Dokl. 21(6), 322-323 (1976). 52. Inverse scattering method in the
theory of waves in nonlinear media, in Theory of Elastisity in Media with Microstructure, ed. I.A. Kunih (Nauka, Moscow, 1975). 53. V.E. Zakharov, S V. Manakov,
Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method, Sov.
Phys. JETP 44(1), 106-112 (1976). 54. V.E. Zakharov, S.V. Manakov,
Generalization of the inverse scattering problem method, Theor. Math. Phys., 27(3), 485-487 (1976). 55. V.E. Zakharov, S.V. Manakov, The
theory of resonance interaction of wave packets in nonlinear media, Eksper. Teoret.
Fiz., 69 (5), 1654-1673 (1975); English: Sov. Phys. JETP, 42(5), 842–850 (1975). 56. V.E. Zakharov, Instability and nonlinear oscillations of
solitons, JETP Lett., 22 (7), 172-173 (1975). 57. V.E. Zakharov, L.A. Takhtadzhyan,
L.D. Faddeev, Complete description of solutions of
the ’sine-Gordon’ equation, Dokl. Acad. Nauk SSSR, 219 (1974), 1334–1337; English: Sov. Phys. Dokl. 19(6), 824-826
(1974). 58. V.E. Zakharov, A.B. Shabat, A
scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I,
Funk. Anal.Prilozh., 8 (1974) 43–53; English: Funct. Anal. Appl., 8(3),
226-235 (1974) 59. V.E. Zakharov, S.V. Manakov, On
the complete integrability of a nonlinear Schrdinger equation, Theor. Math. Phys.,
19(3), 551559 (1974) 60. V.E. Zakharov, On stochastization
of one-dimensional chains of nonlinear oscillators, Sov.
Phys. JETP 38(1), 108-110 (1974). 61. V.E. Zakharov, S.V. Manakov,
Resonant interaction of wave packets in nonlinear media, JETP Lett., 18 (7), 243-245 (1973). 62. V.E. Zakharov, L.D. Faddeev, Korteweg-de Vries equation: A completely
integrable Hamiltonian system, Funct. Anal. Appl., 5(4),
280-287 (1971). 63. V.E. Zakharov, Kinetic Equation for Solitons, Sov. Phys. JETP 33, 538-541 (1971). Works before 2010: General Theory of Waves and Turbulence in Nonlinear Media 1. V.E. Zakharov, Turbulence in Integrable
Systems, Studies in Appl. Math., 122(3), 219-234 (2009). 2. V.E. Zakharov and L.A. Ostrovsky,
Modulation instability: The beginning. Physica D:
Nonlinear Phenomena, 238(5), 540-548 (2009). 3. B. Rumpf, A.C. Newell, V.E. Zakharov,
Turbulent Transfer of Energy by Radiating Pulses, Phys. Rev. Lett., 103, 074502 (2009). Phys. Lett. A 372(23), 4230-4233 (2008). 5. V.E. Zakharov, S.V. Nazarenko,
Dynamics of the Bose-Einstein condensation, Physica
D 201 (3-4), 203-211 (2005). 6. V.E. Zakharov, O.A. Vasilyev, A.I. Dyachenko, Kolmogorov spectra in one-dimensional weak turbulence, JETP Lett., 73 (2), 63-65 (2001). two types of interacting waves, Phys. Lett. A 291 (2-3), 139-145
(2001). 8. V.E. Zakharov, P. Guyenne, A.N. Pushkarev,
F. Dias, Wave turbulence in one-dimensional models, Physica D 152-153, 573-619
(2001). 9. V.E. Zakharov, P. Guyenne, A. Pushkarev,
F. Dias, Turbulence of one-dimensional weakly nonlinear dispersive waves, Contemporary Mathematics 283,
107-116 (2001) [Milewski, Paul A. (ed.) et al., Advances in wave interaction and turbulence. Proc.
AMS-IMS-SIAM joint summer research conference on dispersive wave turbulence, 10. P. Guyenne, V. Zakharov, A. Pushkarev,
F. Dias, Turbulence d’ondes dans
des modles unidimensionnels, C. R. de lAcadmie des Sciences -
Series IIB - Mechanics, 328(10), 757-762 (2000). 11. E.A. Kuznetsov, V.E. Zakharov,
Nonlinear coherent phenomena in continuous media, Lect. Notes Phys., 542, 3-45 (2000) [Nonlinear Science at the Dawn of
the 21st Century, eds. P.L.Christiansen, M.P.Soerensen and A.C.Scott.
Springer, xxii,458 pp., ISBN 978-3-540-66918- 0]. 12. V.E. Zakharov, Quasi-two-dimensional hydrodynamics and
interaction of vortex tubes, Lect. Notes Phys., 536, 369-385 (1999) [Nonlinear MHD Waves and
Turbulence, T. Passot and P.-L. Sulem (Eds.). Springer,
x, 385 pp, ISBN 978-3-540-66697-4]. Transl. Ser. 2, Vol. 182, 31-82 (1998) [Nonlinear Waves and Weak
Turbulence, Edited by: V. E. Zakharov, AMS, 1998, 197 pp., Hardcover, ISBN-10:
0-8218-4113-0, ISBN-13: 978-0-8218- 4113-6]. 14. V.E. Zakharov, Weakly nonlinear waves on the surface of an
ideal finite depth fluid, Amer. Math. Soc. Transl. Ser. 2, Vol. 182, 167-197 (1998) [Nonlinear
Waves and Weak Turbulence, Edited by: V. E. Zakharov, AMS, 1998, 197 pp., Hardcover,
ISBN-10: 0-8218-4113-0, ISBN-13: 978-0-8218-4113-6]. 15. V.E. Zakharov, E.A. Kuznetsov,
Hamiltonian formalism for nonlinear waves, Phys. Usp.,
40(11), 1087-1116 (1997). 16. V. Yakhot, V. Zakharov, Hidden
conservation laws in hydrodynamics; energy and dissipation rate fluctuation spectra in strong turbulence, Physica D 64 (4), 379-394 (1993). 17. V.E. Zakharov, Turbulence in Hamiltonian systems, Progr. Nonlinear Diff. Equat.
Appl., 11, 3-18 (1993) [Nonlinear waves and weak turbulence with
applications in oceanography and condensed matter physics (Cleveland, OH, 1992), Birkhauser
Boston, 18. D.B. Duncan, J.C. Eilbeck, C.H. Walshaw, V.E. Zakharov, Solitary waves on a strongly anisotropic KP lattice, Phys. Lett. A 158 (3-4), 107-111 (1991). and kinetic equations for solitons, Naukova
Dumka, in nonintegrable wave systems, SoEksper. Teoret. Fiz., 96 (6), 2026-2031 (1989) [Russian]; Phys. JETP 69(6), 1144-1147 (1989). 21. V.E. Zakharov, A.N. Pushkarev,
V.F. Shvets, V.V. Yankov, Soliton turbulence, JETP
Lett., 48 (2), 83-87 (1988). and nonlinear and turbulent processes in physics, Proc. Int.Workshop, Kiev/USSR 1987.World Scientific Publishing Co., (5), 1112-1115 (1988); Sov. Phys. Dokl. 33(4), 270-272 (1988). 24. E.A. Kuznetzov, A.M. Rubenchik, V.E. Zakharov, Soliton stability, Modern
Problems of Condensed Matter Sciences, Vol. 17, Solitons, eds. S.E. Trullinger, V.L. Pokrovskii,
V.E. Zakharov (North Holland, 1986), pp. 503-554. 25. E.A. Kuznetsov, A.M. Rubenchik, V.E. Zakharov, Soliton stability in plasmas
and hydrodynamics, Physics Reports, 142 (3), 103-165 (1986). 26. V.E. Zakharov, S.L. Musher, A.M. Rubenchik,
Hamiltonian approach to the description of non-linear plasma phenomena, Physics Reports, 129 (5), 285-366
(1985). 27. V.E. Zakharov, E.A. Kuznetsov,
Hamiltonian formalism for systems of hydrodynamic type, Sov. Sci. Rev., Sect. C, Math.
Phys. Rev. 4, 167-220 (1984). 28. V.E. Zakharov, Kolmogorov spectra in weak turbulence
problems, Handbook of plasma physics. Vol.2. Basic plasma physics II, pp. 3-36 (1984). Ed. by A.A. Galeev, R.N. Sudan, North-Holland, 1984, xiv+850 pp. 29. V.E. Zakharov, M.F. Ivanov, L.N. Shur,
On anomalously slow stochastization in certain twodimensional field theory models, JETP Lett., 30 (1), 34-39 (1979); Erratum
ibid, 30(11), 711 (1979). 30. V.E. Zakharov, E.A. Kuznetsov,
Kinetics of high- and low-frequency waves in nonlinear media, Sov. Phys. JETP 48(3), 458-462
(1978). 31. V.E. Zakharov, E.A. Kuznetzov,
V.S. Lvov, Investigation of wave turbulence, In: Fundamental studies in Physics and Mathematics (Nauka,
Novosibirsk, 1977), pp. 194-198. 32. V.E. Zakharov, V.S. Lvov, Statistical description of
nonlinear wave fields, Izv. Vuzov,
Radiofizika, 18(10), 1470-1487 (1975); English: Radiophysics
and Quantum Electronics, 18(10), 1084-1097 (1975). 33. V.E. Zakharov, The Hamiltonian Formalism for waves in
nonlinear media having dispersion, Radiophysics and Quantum
Electronics, 17(4), 326-343 (1974). 34. V.E. Zakharov, E.A. Kuznetsov,
Three-dimensional solitons, Sov. Phys. JETP 39(2),
285-286 (1974). 35. V.E. Zakharov, A.M. Rubenchik,
Instability of waveguides and solitons in nonlinear media, Eksper. Teoret. Fiz. 65 (1973),
997–1002; English: Sov. Phys. JETP 38(3), 494-500
(1974). 36. V.E. Zakharov, S.L. Musher, Kolmogorov spectrum in a system
of nonlinear oscillators, Doclady Akad. Nauk SSSR, 209 (1973), 1063–1065; English: Sov. Phys. Dokl. 18(4), 240-241
(1973). 37. V.E. Zakharov, A.M. Rubenchik,
Nonlinear interaction of high-frequency and low-frequency waves, Prikl. Mekh.
Tekh. Fiz., (1972), 5,
84–98; English: J. Appl. Mech. Tech. Phys., 13(5), 669-681 (1972/1974). 38. V.E. Zakharov, G.M. Zaslavskii,
Decay instability of wave with randomly varying phase, ZhETF (1967). 39. V.E. Zakharov, Weak turbulence in media with a decay
spectrum, Prikl. Mekh. Tekh. Fiz.,4, 35-39 (1965); English: J. Appl. Mech. Tech. Phys., 6(4), 22-24
(1965/1967). 40. V.E. Zakharov, A solvable model of weak turbulence, J. Appl.
Mech. Tech. Phys., 6(1), 10-16 (1965). 41. V.E. Zakharov, On evolution of a wave packet in
hydrodynamics with dispersion of sound, Prikl. Mekh. Tekh. Fiz.,
3, 167 (1964). Works before 2010: Nonlinear Optics 1. V.E. Zakharov, Generalized Hamiltonian Formalism in Nonlinear
Optics, In: Soliton-driven Photonics, NATO ASI Series II, Vol. 31, 505-518 (2001). Eds.
A.D. Boardman and A.P. Sukhorukov, Kluwer Academic Publishers, 2001. 2. V.E. Zakharov, S.V. Manakov, On
propagation of short pulses in strong dispersion managed optical lines, JETP Lett., 70 (9), 578-582 (1999). 3. V.E. Zakharov, Propagation of Optical Pulses in Nonlinear
Systems with Varying Dispersions, in ”Optical Solitons: Theoretical Challenge and Industrial
Perspectives”, Eds. V. Zakharov, S. Wabnitz, Springer-Verlag, 1999, 73-90. 4. V.E. Zakharov and E.A. Kuznetsov,
Optical solitons and quasisolitons, JETP, 86(5),
1035-1046 (1998). Strong Turbulence, (1993, 6. S. Dyachenko, A.C. Newell, A. Pushkarev, V.E. Zakharov, Optical turbulence: weak
turbulence, condensates and collapsing filaments in the nonlinear Schrdinger equation, Physica D
57 (1-2), 96-160 (1992). 7. N.E. Kosmatov, V.F. Shvets, V.E.
Zakharov, Computer simulation of wave collapses in the nonlinear Schrodinger equation, Physica
D 52 (1), 16-35 (1991). 8. V.E. Zakharov, V.F. Shvets, To the Theory of Critical Wave
Collapse, Plasma Phenomena in the Solar Atmosphere, Proc. Int. Workshop on Plasma Phenomena in
the Solar Atmosphere, July 10-15, 1989, lInstitut dEtudes Scietificques de Carghse, Dubois, F. Bely-Dubau, D. Grsillon. Les Editions de Physique (France), 1990,
p.103-106. 9. E.M. Gavrilov, V.E. Zakharov, A.N. Pushkarev, A.M. Rubenchik, V.F.
Shvets, On Quasilinear Description of Electrons in Strong-Turbulent Processes, Plasma
Phenomena in the Solar Atmosphere, Proc. Int. Workshop on Plasma Phenomena in the Solar Atmosphere,
July 10-15, 1989, lInstitut dEtudes
Scietificques de Carghse,
Bely-Dubau, D. Grsillon.
Les Editions de Physique (France), 1990, p.107-110. 10. E.M. Gavrilov, A.I. Dyachenko, A.M. Rubenchik, V.F.
Shvets, V.E. Zakharov, The Electron Acceleration by Collapsing Cavities, Plasma Phenomena in the
Solar Atmosphere, Proc. Int. Workshop on Plasma Phenomena in the Solar Atmosphere, July
10-15, 1989, lInstitut dEtudes Scietificques de Carghse, Les Editions de Physique (France), 1990, p.111-114. 11. V. Zakharov, N.E. Kosmatov and
V.F. Shvets, Ultrastrong wave collapse, JETP Lett.,
49 (8), 492-495 (1989). 12. V.F. Shvets, V.E. Zakharov, Computer simulation of wave
collapses and wave turbulence, In: Nonlinear world, Proc. 4th Int. Workshop Nonlinear Turbul. Proc. Phys., Kiev/Ukr.
1989, Vol. 1, 671-692 (1990). 13. V.E. Zakharov, A.N. Pushkarev,
R.Z. Sagdeev, G.I. Solov’ev,
V.D. Shapiro, V.F. Shvets, V.I. Shevchenko, Through simulation of one-dimensional Langmuir
turbulence, Sov. Phys. Dokl., 34(3), 248-251 (1989). 14. V.E. Zakharov, A.N. Pushkarev,
A.M. Rubenchik, R.Z. Sagdeev,
V.F. Shvets, Kinetics of three-dimensional Langmuir collapse, Sov. Phys. JETP
69(2), 334-341 (1989). 15. N.E. Kosmatov, V.F. Shvets, V.E.
Zakharov, On the Wave Collapse in the Critical Case, Nonlinear Phenomena in Vlasov Plasmas,
Proc. Int. Workshop on Nonlinear Phenomena in Vlasov Plasmas, July
11-16, 1988, lInstitut d’Etudes
Scietificques de Carghse,
Ed. by F. Doveil. Les Editions de
Physique (France), 1989, p.135-138. of Three-Dimensional Langmuir Collapse, Nonlinear Phenomena in Vlasov Plasmas, Proc. Int. Workshop on Nonlinear Phenomena in Vlasov
Plasmas, July 11-16, 1988, lInstitut d’Etudes Scietificques de Carghse, 1989, p.139-144. 17. V.E. Zakharov, Wave collapses, Sov.
Phys. Usp., 31 (7), 672-674 (1988). 18. V.E. Zakharov, A.G. Litvak, E.I. Rakova,
A.M. Sergeev, V.F. Shvets, Structural stability of wave collapse with a local instability, Eksper.
Teoret. Fiz., 94 (5)
(1988), 107–109; English: Sov. Phys. JETP, 67 (5), 925-927 (1988). of two-dimensional Langmuir collapse, Sov.
Phys. JETP 67(3), 513-519 (1988). 20. N.E. Kosmatov, I.V. Petrov, V.F. Shvets and V.E. Zakharov, Large amplitude simulation of wave collapses in nonlinear Schrodinger equations, Preprint No 1365, (1988), Space Research Institute ( 21. V.E. Zakharov, V.F. Shvets, Nature of wave collapse in the
critical case, JETP Lett., 47 (4), 275-278 (1988) 22. V.E. Zakharov, A.N. Pushkarev,
A.M. Rubenchik, R.Z. Sagdeev,
V.F. Shvets, Final stage of 3D Langmuir collapse, JETP Lett., 47 (5), 287-291 (1988). 23. V.E. Zakharov, A.V. Mikhailov,
Polarization domains in nonlinear optics, JETP Lett., 45 (6), 349-352 (1987). 24. V.E. Zakharov, E.A. Kuznetsov,
S.L. Musher, Quasi classical regime of collapse in the threedimensional nonlinear Schroedinger equation, Physica D 28 (1-2), 221-221 (1987). 25. V.E. Zakharov, E.A. Kuznetsov, Quasiclassical theory of three-dimensional wave collapse,
Sov. Phys. JETP 64(4), 773-780 (1986). 26. V.E. Zakharov, E.A. Kuznetsov,
S.L. Musher, Semiclassical regime of a
three-dimensional wave collapse, JETP Lett., 41 (3), 154-156 (1985). 27. Gabitov, V.E. Zakharov, A.V. Mikhailov, Maxwell-Bloch equation and the inverse
scattering method, Theor. Math. Phys., 63(1),
328-343 (1985). 28. I.P. Gabitov, V.E. Zakharov, A.V. Mikhailov, Non-linear theory of superfluorescence,
Sov. Phys. JETP, 59(4), 703-709 (1984). 29. I.R. Gabitov, V.E. Zakharov, A.V. Mikhailov, Superfluorescence
pulse shape, JETP Lett., 37 (5), 279-282 (1983). 30. V.E. Zakharov, Propagation of an amplifying pulse in a
two-level medium, JETP Lett., 32(10), 589-593 (1980). 31. V.E. Zakharov, A.F. Mastryukov,
V.S. Synakh, Self-focusing of wave packets in
nonlinear media, Sov. J. Quantum Electron. 6(12),
1406-1409 (1976). 32. V.E. Zakharov, Exact solutions to the problem of the
parametric interaction of three-dimensional wave packets, Sov. Phys. Dokl. 21(6), 322-323 (1976). 33. V.E. Zakharov, S.V. Manakov, The
theory of resonance interaction of wave packets in nonlinear media, Sov. Phys. JETP 42(5), 842-850
(1975). 34. O.B. Budneva, V.E. Zakharov, V.S. Synakh, Certain models for wave collapse, Sov. J. Plasma Phys. 1(4), 335-338 (1975). 35. V.E. Zakharov, V.S. Synakh, The
nature of the self-focusing singularity, Sov. Phys.
JETP 41(3), 465-468 (1975). 36. V.E. Zakharov, S.V. Manakov, Exact
theory of resonant interaction of wave packets in nonlinear media, Pisma Zh.ETF,
18 (1973), 413–414. 37. V.V. Sobolev, V.S. Synakh, V.E. Zakharov, Some numerical investigations in
nonlinear optics, Computer Phys. Communs., 5(1), 48-50
(1973). 38. V.E. Zakharov, A.B. Shabat,
Interaction between solitons in a stable medium, Sov.
Phys. JETP, 37(5), 823-828 (1973). 39. V.E. Zakharov, V.V. Sobolev, V.S. Synakh, Breakdown of a monochromatic wave in a medium with an inertia-free nonlinearity, J. Appl. Mech. Tech. Phys.,
13(1), 80-84 (1972/1974). 40. V.E. Zakharov, A.B. Shabat, Exact
theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Eksper.
Teoret. Fiz., 61(1),
118-134 (1971); English: Sov. Phys. JETP, 34(1), 62-69
(1972). 41. V.E. Zakharov, Theory of Self-Focusing, Usp.
Phys. Nauk, 107 (3), 509-510 (1972); English: Sov. Phys. Usp.
15(4), 518-519 (1973). 42. V.E. Zakharov, V.V. Sobolev, V.S. Synakh, Character of Singularity and Stochastic Phenomena in Self Focusing, JETP Lett., 14(10), 390-393 (1971). 43. V.E. Zakharov, V.V. Sobolev, V.C. Synakh, Behavior of Light Beams in Nonlinear Media, Sov. Phys. JETP 33, 77 (1971). media, Sov. Phys. JETP, 31, 468
(1970). 45. V.E. Zakharov, ”Dissipative instability of a light wave in a
nonlinear dielectric, JETP Lett., 7 (8), 226-228 (1968). 46. V.E. Zakharov, Instability of self-focusing of light, ZhETP, 53(5), 1735-1743 (1967); English: Sov. Phys. JETP, 26, 994-998
(1968). Works before 2010: Plasma Physics Appl. Phys., 102, 083305 (2007); arXiv:0704.3103. 2. N.S. Erokhin, V.E. Zakharov, On transillumination of wave barriers for electromagnetic
radiation in an inhomogeneous plasma, Dokl.
Phys., 52(9), 485-487 (2007). 3. S.L. Musher, A.M. Rubenchik, V.E. Zakharov,
Weak Langmuir turbulence, Physics Reports, 252 (4), 178-274 (1995). 4. S.V. Nazarenko, A.C. Newell, V.E.
Zakharov, Communication through plasma sheaths via Raman (three-wave) scattering process, Phys. Plasmas 1(9),
2827-2834 (1994). Computer simulation of Langmuir collapse, Physica
D 52 (1), 78-102 (1991). 6. V.E. Zakharov, Preface. On wave collapses, Physica D 52 (1), vii-viii (1991). Plasma Physics, Vol. 3, eds. M.N. Rosenbluth,
R.Z. Sagdeev (Elsevier Science Publishers, 1991), pp. 335-360. 8. "Throughout" modelling of
the one-dimensional Langmuir turbulence, Sov. Phys. Dokl., 34 (1989), 248–251, (with A.N. Pushkarev,
R.Z. Sagdeev, S.I. Soloviev,
V.D. Shapiro, V.F. Shvets and V.I. Shevchenko). 9. Kinetics of the three-dimensional
Langmuir collapse, Zh. Eksp. Teor. Fiz.,
96 (1989), 591, (with A.N. Pushkarev, A.M. Rubenchik, R.Z. Sagdeev and
V.F. Shvetz). 10. Numerical simulation of
three-dimensional Langmuir collapse in plasma, Pisma Zh.ETF,
47 (1988), 287, (with A.N. Pushkarev,
A.M. Rubenchik, R.Z. Sagdeev,
and V.F. Shvetz). 11. V.E. Zakharov, Computer simulation of the Langmuir collapse
of the isolated cavity, in: Plasma Theory and Nonlinear and Turbulent Processes in Physics. World
Scientific Publishing Co., 12. Numerical simulation of
two-dimensional Langmuir collapse,Sov. Phys. JETP, 67 (1988), 513– 518, (with A.I. Dyachenko, A.M. Rubenchik, R.Z. Sagdeev and
V.F. Shvets). Langmuir collapse and two-dimensional Langmuir cavitons, JETP Lett., 44(11), 648-651 (1986). Physics and Controlled Fusion, 9(5), 183-206 (1985). 15. Zh.A. Assalauov,
V.E. Zakharov, Modulational instability and
collapse of plasma waves in a magnetic field, Sov. J. Plasma Phys.
11(11), 762-766 (1985). 16. V.E. Zakharov, Collapse and self-focusing of Langmuir waves,
Handbook of plasma physics. Vol.2. Basic plasma physics II, pp. 81-121 (1984). Ed. by A.A. Galeev, R.N. Sudan, North- Stimulated processes in potassium vapor in the presence of a
buffer gas, Sov. Phys. JETP, 58(4), 710-715 (1983). 18. S.I. Anisimov, M.A. Berezovskii, V.E. Zakharov, I.V. Petrov,
A.M. Rubenchik, Numerical simulation of a langmuir collapse, Sov. Phys. JETP, 57(6), 1192-1196 (1983). 19. S.I. Anisimov, M.A. Berezovskii, V.E. Zakharov, I.V. Petrov,
M. F. Ivanov, A.M. Rubenchik, Computer simulation of the Langmuir collapse, Phys. Lett. A, 92,
32-34 (1982). 20. V.E. Zakharov, L.N. Shur,
Self-similar regimes of wave collapse, Sov. Phys.
JETP 54(6), 1064- 1070 (1981). 21. Yu.S. Sigov,
V.E. Zakharov, Strong turbulence and its computer simulation, J. Phys. Colloques, 40 (C7), 63-79 (1979). 22. V.E. Zakharov, V.S. Lvov, A.M. Rubenchik,
Effect of modulation instability on the relaxation of a relativistic electron beam in a plasma, JETP Lett., 25 (1),
8-10 (1977). Phys. 2(3), 240-246 (1976). 24. V.E. Zakharov, Plasma collapse in a magnetic field, JETP
Lett., 21 (8), 221-222 (1975). 25. V.E. Zakharov, S.L. Musher, A.M. Rubenchik,
Weak Langmuir turbulence of an isothermal plasma, Sov. Phys. JETP 42(1), 80-86
(1975). 26. V.E. Zakharov, A.F. Mastryukov,
V.S. Synakh, Dynamics of plasma-wave collapse in a
hot plasma, Sov. J. Plasma Phys. 1(4),
339-343 (1975). 4-5 (1975). Lett., 20 (6), 164-166 (1974). 29. V.E. Zakharov, A.F. Mastryukov,
V.S. Synakh, Two-dimensional collapse of Langmuir
waves, JETP Lett., 20 (1), 3-4 (1974). Phys. JETP 41(1), 57-61 (1975). 31. V.E. Zakharov, S.L. Musher, A.M. Rubenchik,
Nonlinear stage of parametric wave excitation in a plasma, JETP Lett., 19 (5), 151-152 (1974). 32. B.N. Breizman, V.E. Zakharov, S.L.
Musher, Kinetics of stimulated scattering of Langmuir waves by plasma ions, Sov. Phys. JETP,
37(4), 658-665 (1973). 33. V.E. Zakharov, Collapse of Langmuir waves, Sov. Phys. JETP 35(5), 908-914 (1972). 34. V.E. Zakharov, Hamiltonian formalism of hydrodynamic plasma
models, Eksper. Teoret. Fiz., 60 (1971), 1714–1726; English: Sov.
Phys. JETP 33(5), 927-933 (1971). 35. N.S. Erokhin, V.E. Zakharov, S.S. Moiseev, Second Harmonic Generation by an Electromagnetic Wave Incident on Inhomogeneous Plasma, Sov.
Phys. JETP, 29(1), 101-105 (1969). 36. V.E. Zakharov,Weak-turbulence
spectrum in a plasma without a magnetic field, ZhETP,
51(2), 688-696 (1966); English: Sov. Phys.
JETP, 24, 455-459 (1967). 37. S.G. Alikhanov, V.E. Zakharov,
G.L. Khorasanov, Plasma diffusion in a magnetic
field due to coulomb collisions, J. Nucl. Energy C
5(5), 309-313 (1963). 38. V.E. Zakharov, V.I. Karpman, On
the nonlinear theory of the damping of plasma waves, Eksper. Teoret. Fiz., 43(2), 490-499 (1962); English: Sov.
Phys. JETP 16(2), 351-357 (1963). Works before 2010: Hydrodynamics and Rossby
Waves Phys. Lett. A 373(44), 4049-4052 (2009). 2. V.E. Zakharov, Quasi-Two-Dimensional Hydrodynamics and
Interaction of Vortex Tubes, Lect. Notes Phys., 536, 369-385 (1999) [Nonlinear MHD Waves and
Turbulence, T. Passot and P.-L. Sulem (Eds.). Springer,
x, 385 pp, ISBN 978-3-540-66697-4]. 3. V.S. Lvov, Yu. Phys. Rev. E 56 (1), 390-405 (1997); chao-dyn/9607007. 4. S.V. Nazarenko, V.E. Zakharov, The
role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations, Phys.
Lett. A 191 (5-6), 403-408 (1994). turbulence, Phys. Lett. A 165 (4), 330-334 (1992). 6. S.V. Nazarenko, V.E. Zakharov,
Kinetic equation for point vortices in a shear flow, Physica
D 56 (4), 381-388 (1992). 7. E. Kuznetsov, A.C. Newell, V.E.
Zakharov, Intermittency and turbulence, Phys. Rev. Lett. 67(23), 32433246 (1991). 152 (5-6), 276-280 (1991). 9. V.E. Zakharov, On the Lie algebra of motion integrals for
two-dimensional hydrodynamic equations in Clebsch variables, In: Mechanics,
analysis and geometry: 200 years after Lagrange, 157-169 (1991). Ed. M.Frankaviglia,
Elsevier Science Publisheres B.V., 1991, xi, 559 p.
ISBN 0-444-88958-2. Phys. Lett. A 146 (4), 217-221 (1990). JETP 71(2), 249-260 (1990) Generation of large-scale structures in continues media
(Perm-Moscow, 1990). zonal flow, In: Generation of large-scale structures in
continues media (Perm-Moscow, 1990). large-scale structures in continues media (Perm-Moscow, 1990). 15. V.E. Zakharov, The algebra of integrals of motion of
two-dimensional hydrodynamics in Clebsch variables, Funk. Anal. Prilozhen., 23
(3), 24-31 (1989); Funct. Anal. Appl., 23(3),
189-196 (1989). 16. V.E. Zakharov, L.I. Piterbarg,
Canonical variables for Rossby waves and plasma
drift waves, Phys. Lett. A 126 (8-9), 497-500 (1988). 17. V.E. Zakharov, A.S. Monin, L.I. Piterbarg, Hamiltonian formalism for the Rossby waves and dirft waves in plasma,
In: Plasma theory and nonlinear and turbulent processes in physics, Proc. Int. Workshop, Kiev/USSR 18. V.E. Zakharov, A.S. Monin, L.I. Piterbarg, Hamiltonian description of Rossby-Blinova
baroclinic waves, Doklady, 295(5), 1061-1064
(1987); Sov. Phys. Dokl.,
32 (8), 626-627 (1987). 19. V.E. Zakharov, L.I. Piterbarg,
Canonical variables for Rossby and drift waves in
plasma, Doklady, 295 (1), 86-90 (1987); Sov. Phys. Dokl. 32(7), 560-561 (1987). 20. V.E. Zakharov, E.A. Kuznetsov, Variational principle and canonical variables in magnetohydrodynamics, Sov. Phys. Dokl.
15(10), 913-914 (1971). 21. V.E. Zakharov, R.Z. Sagdeev,
Spectrum of acoustic turbulence, Sov. Phys. Dokl. 15 (5), 439-441 (1970). Works before 2010: Nonlinear waves in ferromagnetics 1. V.E. Zakharov, V.S. Lvov, S.S. Starobinets,
Spin-wave turbulence beyond the parametric excitation threshold, Sov. Phys. Usp. 17(6), 896-919 (1975). 2. V.E. Zakharov, V.S. Lvov, Parametric excitation of spin waves
in ferromagnets with magnetic inhomogeneities, Fiz. Tverd. Tela,
14 (1972), 2913-29234 English: Sov. 2513-2519 (1973). 3. V.V. Zautkin, V.E. Zakharov, V.S. L’vov, S.L. Musher, S.S. Starobinets,
Parallel pumping of spin waves in YIG mono-crystals, ZETPh,
62(5), 1782-1797 (1972); English: Sov. Phys. JETP 35 (5), 926-933 (1973). 4. V.E. Zakharov, V.S. Lvov, S.L. Musher, Transient behavior of
a system of parametrically excited spin waves, Sov. 5. V.E. Zakharov, V.S. Lvov, S.S. Starobinets,
On non-stationary behavior of system of parametrically excited spin waves, Fiz. Tverd. Tela, 14 (1973),
832-838. 6. V.E. Zakharov, V.S. Lvov, S.S. Starobinets,
Response to the comments of Ya.A. Monosov and V.I. Zubkov on our paper A new
mechanism of limitation of the amplitude of spin waves in parallel pumping, Soviet Physics - 7. V.E. Zakharov, V.S. Lvov, Onset of turbulence during
parametric excitation of waves, Sov. Phys. JETP 33(6), 1113-1119 (1971). 8. V.E. Zakharov, V.S. Lvov, S.S. Starobinets,
Stationary nonlinear theory of parametric excitation of waves, ZhETP, 59 (4), 1200-1214
(1970); English: Sov. Phys. JETP 32(4), 656-663 (1971). 9. V.E. Zakharov, V.S. Lvov, S.S. Starobinets,
Instability of monochromatic spin waves, Fiz. Tverd. Tela, 11 (10), 2924-2930 (1969). 10. V.E. Zakharov, V.S. Lvov, S.S. Starobinets,
A new mechanism of limitation of the amplitude of spin waves in parallel pumping, Soviet Physics - Books 1. S. Novikov, S.V. Manakov, L.P. Pitaevskij, V.E.
Zakharov, Theory of solitons. The inverse scattering methods. Russian: Nauka, ISBN 0-306-10977-8. 2. S.V. Manakov, V.E. Zakharov (Eds.),
Soliton theory. Proceedings of the Soviet-American Symposium held in 3. Spectral transforms and solitons.
Tools to solve and investigate nonlinear evolution equations, by F. Calogero, A. Degasperis,
(editor of translation with a preface), Mir, 4. Elements of soliton theory, by D.L. Lamb, (editor of translation with a preface), Mir, 1983. 5. S.E. Trullinger, V.E. Zakharov,
V.L. Pokrovskij (Eds.), Solitons, Modern Problems
in Condensed Matter Sciences, Vol. 17. Amsterdam etc.: North-Holland. xvi,
899 p. (1986). ISBN 0-444-87002-4. 6. Solitons and the inverse scattering
transform, by M. Ablovits
and Kh. Sigur, (editor of
translation with a preface), Mir, 7. Wave collapses, Proceedings of the International Workshop on Wave Collapse
Physics, (March 20–27, 1988), Phys. D, 52 (1991), No. 1, North-Holland Publishing Co., 1991, (editor). 8. V.G. Baryakhtar, V.M. Plasma theory and nonlinear and turbulent processes in physics.
Vols. 1, 2. Proceedings of the international workshop, xv, 998 p. (1988). ISBN 9971-50-546-0. 9. V.G. Baryakhtar, V.M. Nonlinear world. 4th international workshop on nonlinear and
turbulent processes in physics, (1990). ISBN 981-02-0271-7. 10. V.G. Baryakhtar, V.M. Nonlinear world. 4th international workshop on nonlinear and
turbulent processes in physics, 727-1518 (1990). ISBN 981-02-0272-5. 11. V.G. Baryakhtar, V.M. Chernousenko, V.E. Zakharov (Eds.), Integrability
and kinetic equations for solitons [in Russian], Naukova Dumka, 12. V.E. Zakharov (Ed.), What is integrability?,
Springer Series in Nonlinear Dynamics. etc.: Springer-Verlag. xiv, 321 p.
(1991). ISBN 3-540-51964-5. 13. V.E. Zakharov, V.S. Lvov, G. Falkovich,
Kolmogorov spectra of turbulence I. Wave turbulence, Springer Series in Nonlinear Dynamics. 540-54533-6. Springer–Verlag, 1993. in Nonlinear Dynamics. 16. The Nonlinear Schrodinger Equation.
Proceedings of the conference held in Chernogolovka,
July 25 - August 3, 1994, (editor, with
A.V. Mikhailov, A.E. Kuznetsov
and A.C. Newell), Phys.D, 87 (1995), No. 1-4, North-Holland
Publishing Co., 17. V.E. Zakharov (Editor), Nonlinear Waves and Weak Turbulence,
Amer. Math. Soc. Transl. Ser. 2, Vol. 182 (1998) [Nonlinear Waves and Weak Turbulence, Edited
by: V. E. Zakharov, AMS, 1998, 197 pp., Hardcover, ISBN-10:
0-8218-4113-0, ISBN-13: 978-0-8218-4113-6]. |
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