Publications
2022
A.I. Dyachenko,
S.A. Dyachenko, V.E. Zakharov, Free
Surface in 2D Potential Flow: Singularities, Invariants and Virtual Fluid, Journal of Fluid
Mechanics 952, A30, 2022;
arXiv:2109.13159,
ADS: 2021arXiv210913159D.
Y.A. Stepanyants, D.V. Zakharov, V.E.
Zakharov, Lump interactions with plane
solitons, Radiophysics
and Quantum Electronics 64, No. 10, 665-680, 2022; arXiv:2108.06071, ADS:
2021arXiv210806071S.
V.
Zakharov, High-dimensional
generalizations of the chiral field equations, to appear in Theor. Math. Phys.
V. Geogjaev, A. Pushkarev, V. Zakharov, On ST6 Source Terms Model Assessment and
Alternative, to appear in Journal of Physical Oceanography.
2021
A.I.
Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Short branch cut approximation in two-dimensional hydrodynamics with
free surface, Proc. Roy. Soc. A 477 (2249), 20200811 (2021);
arXiv:2003.05085, WoS: 000647709300001, Scopus: 2-s2.0-85107630020, MathSciNet:
4269877.
P.M. Lushnikov, V.E. Zakharov, Poles and branch cuts in free surface
hydrodynamics, Water Waves, 3(1), 251-266 (2021); arXiv:1911.11609, ADS:
2021WatWa...3..251L, MathSciNet: 4246395.
C.
Lester, A. Gelash, D. Zakharov, V. Zakharov, Lump chains in the KP-I equation, Stud. Appl. Math. 147.4, 1425-1442, 2021; arXiv:2102.07038,
ADS: 2021arXiv210207038L.
2020
D. Kachulin, A. Dyachenko, V.
Zakharov, Soliton Turbulence in
Approximate and Exact Models for Deep Water Waves, Fluids, 5(2), art. 67 (2020), WoS: 000551183200001, Scopus: 2-s2.0-85086002936.
V.E. Zakharov, Integration of a deep fluid equation with a free surface, Theor.
Math. Phys., 202(3), 285-294 (2020), WoS: 000524228200001, Scopus:
2-s2.0-85083276610.
G. Xu, A. Gelash, A. Chabchoub, V. Zakharov,
B. Kibler, Ghost Interaction of Breathers,
Front. Phys. 8, 608894 (2020), WoS: 000600387700001, Scopus:
2-s2.0-85098056130.
P.M. Lushnikov, V.E. Zakharov, Poles and branch cuts in free surface
hydrodynamics, Water Waves, Online First, Published: 25 May 2020.
https://doi.org/10.1007/s42286-020-00040-y; arXiv:1911.11609.
V.E. Zakharov, D.V. Zakharov, Generalized primitive potentials,
Doklady Mathematics, 101(2), 117-121 (2020); arXiv:1907.05038.
S.I. Badulin, V.E. Zakharov, The Phillips spectrum and a model of wind-wave
dissipation, Theor. Math. Phys., 202(3), 309-318 (2020), WoS:
000524228200003, Scopus: 2-s2.0-85083262946.
S.A. Dyachenko, P. Nabelek, D.V.
Zakharov, V.E. Zakharov, Primitive
solutions of the Korteweg–de Vries equation, Theor. Math. Phys., 202(3),
334-343 (2020), WoS: 000524228200005, Scopus: 2-s2.0-85083214793.
A.N. Pushkarev, V.E. Zakharov, Nonlinear amplification of ocean waves in
straits, Theor. Math. Phys., 203(1), 535-546 (2020], WoS: 000529685500009,
Scopus: 2-s2.0-85084128325.
P. Nabelek, V. Zakharov, Solutions to the Kaup–Broer System and Its
(2+1) Dimensional Integrable Generalization via the Dressing Method,
Physica D: Nonlinear Phenomena 409, 132478
D. Kachulin, A. Dyachenko, V.
Zakharov, A dynamic equation for 2D
surface waves on deep water, Proc. 22nd EGU General Assembly, held online
4-8 May, 2020, id.6562.
2019
V.E. Zakharov, S.I. Badulin, V.V.
Geogjaev, A.N. Pushkarev, Weak‐Turbulent Theory of Wind‐Driven
Sea, Earth and Space
Science, 6(4), 540-556 (2019), WoS: 000467222300001,
Scopus: 2-s2.0-85064061667.
A.I. Dyachenko, P.M. Lushnikov,
V.E. Zakharov, Non-canonical Hamiltonian structure and Poisson bracket
for two-dimensional hydrodynamics with free surface, J. Fluid Mech., 869, 526-552 (2019);
arXiv:1809.00707, WoS: 000466346000001,
Scopus: 2-s2.0-85065040284.
A.I. Dyachenko, S.A. Dyachenko,
P.M. Lushnikov, V.E. Zakharov, Dynamics of poles in two-dimensional
hydrodynamics with free surface: new constants of motion, J. Fluid Mech., 874, 891-925 (2019);
arXiv:1809.09584, WoS: 000475355200001,
Scopus: 2-s2.0-85073157514.
P. Nabelek, D. Zakharov, V.
Zakharov, On symmetric primitive potentials, J. Integrable Systems, 4(1), art:
xyz006 (2019); arXiv:1812.10545.
G. Xu, A. Gelash, A. Chabchoub, V.
Zakharov, B. Kibler, Breather Wave Molecules, Phys. Rev. Lett.
122, 084101 (2019), WoS: 000459920400008,
Scopus: 2-s2.0-85062286404.
A.O. Korotkevich, A.O. Prokofiev,
V.E. Zakharov, On the Dissipation Rate of Ocean Waves due to White
Capping, JETP Lett., 109
(5), 309-315 (2019); arXiv:1808.04953,
WoS: 000468338500006,
Scopus: 2-s2.0-85062638479.
A. Gelash, D. Agafontsev, V.
Zakharov, G. El, S. Randoux, P. Suret, Bound state soliton gas dynamics underlying the
spontaneous modulational instability, Phys. Rev. Lett., 123
(23), 234102 (2019)
V.V. Geogjaev, V.E. Zakharov, S.I.
Badulin, Numerical study of
isotropic ocean swell, Doclady Akademii Nauk, 489 (5), 512-516
(2019)
D. Kachulin, A. Gelash, A.
Dyachenko, V. Zakharov, Interactions of coherent structures on the
surface of deep water, Geophysical
Research Abstracts, Vol. 21, EGU2019-14135 (2019).
2018
D. Kachulin, A. Dyachenko, V.
Zakharov, Equations for 1D waves on the surface of deep water, Geophysical
Research Abstracts, Vol. 20, EGU2018-13067-1 (2018).
V. Zakharov, Analytic
theory of wind-driven sea, IUTAM Symposium Wind Waves, 4-8 September 2017,
London, UK; Procedia IUTAM 26 (2018) 43-58.
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
B. Kibler, A. Chabchoub, A.
Gelash, N. Akhmediev, and V. E. Zakharov. Ubiquitous nature of modulation
instability: from periodic to localized perturbations. Chap. 7. In monograph
Nonlinear Guided Wave Optics, edited by S. Wabnitz (IOP Publishing, Bristol,
UK), 2017.
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.
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, Brest, France, pp. 77-86.
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.
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).
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, Moscow, 25-30 August, 2006
/ Ed. by A. V. Borisov, V.V. Kozlov, I. 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).
24. V.E. Zakharov, Theoretical interpretation of fetch limited observations
of wind-driven sea, Proc. 7th Int. Workshop on Wave Hindcasting and
Forecasting, Banff, Alberta, Canada, October 21- 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, Banff, Alberta, Canada, October 21-25, 2002.
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, Banff, Alberta, Canada, October
21-25, 2002, 295-306.
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).
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).
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).
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).
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 (Sydney, 1991), Eds. M.L.
Banner and R.H.Y. Grimshaw, Springer-Verlag, Berlin, 1992, pp. 69-91.
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 Hopkins 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,
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 USSR, Physics Atm.
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).
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).
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,
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).
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., Budapest, 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 Schrodinger 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 two-dimensional 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., London, UK:
Harwood Academic Publishers, 1979, xv+305 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, Seattle, Wash., July 24-August 4,
1978.
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, L.A. Bordag, A.R. Its, V.B. Matveev,
Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their
interaction, Phys. Lett. A 63 (3), 205-206 (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 Schrodinger 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).
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).
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, Mount Holyoke College,
South Hadley, MA, USA, June 11-15, 2000.
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, Boston, MA, 1993].
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).
21. V.E. Zakharov, A.N. Pushkarev, V.F. Shvets, V.V. Yankov, Soliton
turbulence, JETP Lett., 48 (2), 83-87 (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 two-dimensional 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).
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, Corsica, France. Ed. by M. A.
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,
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,
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, lnstitut
d’Etudes Scietificques de Carghse, Corsica, France.
Ed. by F. Doveil. Les Editions de Physique (France), 1989, p.135-138.
Scietificques de Carghse,
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).
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 (Moscow).
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 three-dimensional nonlinear Schrodinger 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. Commun., 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).
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
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).
6. V.E. Zakharov, Preface. On wave collapses, Physica D 52 (1), vii-viii
(1991).
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., Singapore, 1988, Vol. 2, pp. 573-596.
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).
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-Holland, 1984, xiv+850 pp.
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).
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).
29. V.E. Zakharov, A.F. Mastryukov, V.S. Synakh, Two-dimensional collapse
of Langmuir waves, JETP Lett., 20 (1), 3-4 (1974).
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
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.
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).
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).
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.
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.
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 - Solid State,
13 (9), 2775-2777 (1971).
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 -
Solid State, 11 (7), 2047-2049 (1969).
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 Kiev, September 4-16, 1979, Physica D 3,
No.1-2 (1981) [Amsterdam – New York: North-Holland Publishing Co. xiv, 438 pp
(1981)].
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, Moscow,
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, Moscow, 1987.
7. Wave collapses, Proceedings of the International Workshop on Wave Collapse Physics,
Novosibirsk (March 20–27, 1988), Phys. D, 52 (1991), No. 1, North-Holland Publishing Co., Amsterdam, 1991,
(editor).
8. V.G. Baryakhtar, V.M.
xv, 998 p. (1988). ISBN 9971-50-546-0.
9. V.G. Baryakhtar, V.M.
(1990). ISBN 981-02-0271-7.
10. V.G. Baryakhtar, V.M.
11. V.G. Baryakhtar, V.M. Chernousenko, V.E. Zakharov (Eds.), Integrability
and kinetic equations for solitons [in Russian], Naukova Dumka, Kiev, 1990.
12. V.E. Zakharov (Ed.), What is integrability?,
Springer Series in Nonlinear Dynamics. Berlin 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.
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].