Works on Surface Waves Theory

  • 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).
  • V.Zakharov, A. Pushkarev and D. Resio, New wind input term through experimental, theoretical and numerical consideration, submitted to J. Phys. Oceanography.
  • A. Dyachenko, V. Zakharov, A dynamic equation for water waves in one horizontal dimension, Europ. J. Mech. B/Fluids, in press, available online 7 September 2011.
  • 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).
  • Zakharov and A. Dyachenko, About shape of giant breather, Europ. J. Mech. B/Fluids, 29(2), 127-131 (2010).
  • 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).
  • 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.
  • F. Dias, A. Dyachenko, V. Zakharov, Theory of weakly damped free-surface flows: A new formulation based on potential flow solutions, Phys. Lett. A, 372(8), 1297-1302 (2008); arXiv:0704.3352.
  • V.E. Zakharov, On domination of nonlinear wave interaction in the energy balance of wind-driven sea. Proceedings of 11th Wave Workshop October 18-23, 2009,  Halifax, Canada. http://www.waveworkshop.org/11thWaves/ProgramFrameset.htm
  • A.O. Korotkevich, A.N. Pushkarev, D. Resio, V.E. Zakharov, Numerical Verification of the Weak Turbulent Model for Swell Evolution, Eur. J. of Mech. B/Fluids, 372 (2008), 1297-1302.
  • A.I Dyachenko and V.E. Zakharov, On the formation of freak waves on the surface of deep water, JETP Lett., 88 (2008), 356-359.
  • A.O. Korotkevich, A.N. Pushkarev, D. Resio and V. Zakharov, Numerical Verification of the Weak Turbulent Model for Swell Evolution, Eur. J. of Mech. B/Fluids,  27 (2008), 4, 361-387.
  • 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 15–20, 2008, Estoril, Portugal. ISBN: 978-0-7918-4819-7].
  • S.I. Badulin, A.V. Babanin, D. Resio, V.E. Zakharov, Weakly turbulent laws of wind-wave growth, J. of Fluid Mech., 591 (2007), 339-378.
  • V.E. Zakharov, A.O. Korotkevich, A.N. Pushkarev, D. Resio, Coexistence of Weak and Strong Wave Turbulence in a Swell Propagation, Phys. Rev. Lett., 99 (2007), 16, 164501. [PDF (307 kB) ]
  • A.O. Korotkevich, A.N. Pushkarev, D. Resio, V. Zakharov, Numerical verification of the Hasselmann equation, accepted for publication in a book "Tsunami and Nonlinear Waves" (Ed. Anjan Kundu), Springer, Approx. 325 p., 170 illus., Hardcover, ISBN: 978-3-540-71255-8.
  • V.E. Zakharov, A.I. Dyachenko, A.O. Prokofiev, Freak waves as nonlinear stage of Stokes wave modulation instability, Eur. J. of Mech. B/Fluids,  25 (2006), 5, 677-692.
  • V.E. Zakharov, A.O. Korotkevich, A.N. Pushkarev and A.I. Dyachenko, Mesoscopic Wave Turbulence, JETP Lett., 82 (2005), 8, 487-491. [PDF (204 kB) ]
  • Zakharov, Theoretical Interpretation of Fetch Limited Wind-Driven Sea Observations, Nonlinear Processes in Geophysics, 12 (2005), 1011–1020.
  • S.I. Badulin, A.N. Pushkarev, D. Resio, V.E. Zakharov, Self-Similarity of Wind Driven Seas, Nonlinear Processes in Geophysics, 12 (2005), 891–945.
  • 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.
  • A.I.Dyachenko, V.E. Zakharov, Modulation instability of Stokes - freak wave, JETP Letters, 81 (2005), 255.
  • F. Dias, A. Pushkarev, V. Zakharov, One-dimensional wave turbulence, Physics Reports, 398 (2004), 1, 1-65.
  • A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov, Weak turbulent Kolmogorov spectrum for surface gravity waves, Phys. Rev. Lett., 92 (2004), 13. [PDF (253 kB)]
  • A. Pushkarev, D. Resio, V. Zakharov, Second generation diffusion model of interacting gravity waves on the surface of deep fluid, Nonlinear Processes in Geophysics,  11 (2004), 329–342.
  • A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov, Weak turbulence of gravity waves, Pis'ma v ZhETF 77 (10) 649-653 (2003) [JETP Letters 77 (10) 546-550 (2003)] [PDF (60 kB)].
  • A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov, Decay of the monochromatic capillary wave, Pis'ma v ZhETF 77 (9) 572-576 (2003) [JETP Letters 77 (9) 477-481 (2003)] [PDF (108 kB)].
  • A. Pushkarev, D. Resio, V. Zakharov, Weak turbulent approach to the wind-generated gravity sea waves, Physica D 184 (1-4) 29-63 (2003): in “Complexity and Nonlinearity in Physical Systems” — a special issue to honor A. Newell [PDF (447 kB)].
  • V.E. Zakharov, Theoretical interpretation of fetch limited observations of wind--driven sea — 7th International Workshop on Wave Hindcasting and Forecasting (October 21-25, 2002, Banff, Alberta, Canada), pp. 286-294 [PDF (148 kB)].
  • I. Lavrenov, D. Resio, V. Zakharov, Numerical simulation of weak-turbulent Kolmogorov spectra in water surface waves — 7th International Workshop on Wave Hindcasting and Forecasting (October 21-25, 2002, Banff, Alberta, Canada) [PDF (135 kB)]
  • S. Badulin, A. Pushkarev, D. Resio, V. Zakharov, Direct and inverse cascade of energy, momentum and wave action in the wind-driven sea 7th International Workshop on Wave Hindcasting and Forecasting (October 21-25, 2002, Banff, Alberta, Canada), pp. 295-306 [PDF (38 kB)]
  • V.E. Zakharov, A.I. Dyachenko, O.A. Vasilyev, New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface, Eur. J. Mech. B 21 (3) 283-291 (2002) [PDF (155 kB)].
  • M. Onorato, A. Osborne, M. Serio, D. Resio, A. Pushkarev, V.E. Zakharov, C. Brandini, Freely decaying weak turbulence for sea surface gravity waves, Phys. Rev. Lett. 89 (14) 144501 (2002) [PDF (112 kB)].
  • A.N. Pushkarev, V.E. Zakharov, Turbulence of capillary waves — theory and numerical simulation, Physica D 135 (1-2) 98-116 (2000) [PDF (778 kB)].
  • A. Pushkarev, V. Zakharov, On conservation of the constants of motion in the models of nonlinear wave interaction — 6th International Workshop on Wave Hindcasting and Forecasting (November 6-10, 2000, Monterey, California, USA), pp. 456-469 (published by Meteorological Service of Canada).
  • V. Zakharov, Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid, Eur. J. Mech. B 18 (3) 327-344 (1999): in “Three-Dimensional Aspects of Air-Sea Interaction” [PDF (995 kB)]
  • V.E. Zakharov, A.N. Pushkarev, Diffusion model of interacting gravity waves on the surface of deep fluid, Nonlin. Proc. Geophys. 6 (1) 1-10 (1999) [PDF (617 kB)]
  • V.E. Zakharov, Weakly nonlinear waves on the surface of an ideal finite depth fluid, Amer. Math. Soc. Transl. 182 (2) 167-197 (1998) [PDF (207 kB)]
  • A. Pushkarev, V. Zakharov, Turbulence of capillary waves — theory and numerical simulation, pp. 111-132: chapter 4 in Nonlinear Ocean Waves, ed. W. Perrie, Advances in Fluid Mechanics 17 (WIT Press, 1997).
  • V.E. Zakharov, Modeling of ocean storms on cryogenic installations — Proceedings of the conference on High-Reynolds turbulence (Brookhaven, 1996), ed. R.Donelly (Springer-Verlag).
  • A.I. Dyachenko, V.E. Zakharov, E.A. Kuznetsov, Nonlinear dynamics of free surface of ideal fluid, Fizika Plazmy ?, ?-? (1996) [Plasma Phys. Rep. 22 (10) 829-840 (1996)]: a spesial issue dedicated to memory of V. Petviashvili.
  • A.N. Pushkarev, V.E. Zakharov, Turbulence of capillary waves, Phys. Rev. Lett. 76 (18) 3320-3323 (1996) [PDF (144 kB)].
  • 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): in “Nonlinear Phenomena in Ocean Dynamics” [PDF (492 kB)].
  • A.I. Dyachenko, V.E. Zakharov, Toward an integrable model of deep water, Phys. Lett. A 221 (1-2) 80-84 (1996) [PDF (366 kB)].
  • A.I. Dyachenko, E.A. Kuznetsov, M.D. Spector, V.E. Zakharov, Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping), Phys. Lett. A 221 (1-2) 73-79 (1996) [PDF (504 kB)].
  • A.I. Dyachenko, Y.V. Lvov, V.E. Zakharov, Five-wave interaction on the surface of deep fluid, Physica D 87 (1-4) 233-261 (1995): in Proceedings of the Conference on The Nonlinear Schrodinger Equation [PDF (998 kB)].
  • A.I. Dyachenko, V.E. Zakharov, Is free surface hydrodynamics an integrable system?, Phys. Lett. A 190 (2) 144-148 (1994) [PDF (223 kB)].
  • 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) [PDF (1206 kB)].
  • E.A. Kuznetsov, M.D. Spector, V.E. Zakharov, Surface singularities of ideal fluid Phys. Lett. A 182 (4-6) 387-393 (1993) [PDF (635 kB)].
  • A.C. Newell, V.E. Zakharov, Rough sea foam, Phys. Rev. Lett. 69 (8) 1149-1151 (1992) [PDF (420 kB)].
  • V.E. Zakharov, Direct and inverse cascade in wind-driven sea and wave breaking — Proceedings of IUTAM Meeting on Wave Breaking (Sydney, 1991), eds. M.L. Banner and R.H.Y. Grimshaw (Springer-Verlag, Berlin, 1992), pp. 69-91.
  • V.E. Zakharov, V.I. Shrira, On the formation of the directional spectrum of wind waves, Sov. Phys. JETP 71, 1091-1100 (1990).
  • M.M. Zaslavski, V.E. Zakharov, Dependence of wave parameters on the wind velocity, duration and its action and fetch in the weak-turbulence theory of wind waves, Izv. Akad. Nauk SSSR Fiz. Atm. i Okeana 19, 300-306 (1983).
  • M.M. Zaslavski, V.E. Zakharov, Shape of spectrum of energy carrying components of a water surface in the weak-turbulence theory of wind waves, Izv. Akad. Nauk SSSR Fiz. Atm. i Okeana 19, 207-212 (1983).
  • M.M. Zaslavski, V.E. Zakharov, Ranges for generation and dissipation in the kinetic equation for a low-turbulence theory of wind waves, Izv. Akad. Nauk SSSR Fiz. Atm. i Okeana 18, 821-827 (1982).
  • M.M. Zaslavski, V.E. Zakharov, The kinetic equation and Kolmogorov spectra in the weak turbulence theory of wind waves, Izv. Akad. Nauk SSSR Fiz. Atm. i Okeana 18, 747-753 (1982).
  • M.M. Zaslavski, V.E. Zakharov, To the problem of the wind-driven waving prognosis, Doclady Akad. Nauk SSSR 256, 567 (1982).
  • V.E. Zakharov, A.V. Smilga, Quasi-one-dimensional weak turbulent spectra, Sov. Phys. JETP 54, 700-704 (1981).
  • V.E. Zakharov, Instability of monochromatic waves on the surface of an arbitrary depth fluid, Zh. Prikl. Mekh. Tekh. Fiz. ? (5) ?-? (1970).
  • V.E. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, Zh. Prikl. Mekh. Tekh. Fiz. 9, 86-94 (1968) [J. Appl. Mech. Tech. Phys. 9, 190-194 (1968)].
  • V.E. Zakharov, N.N. Filonenko, Weak turbulence of capillary waves, Zh. Prikl. Mekh. Tekh. Fiz. 4 (5) 62-67 (1967) [J. Appl. Mech. Tech. Phys. 4, 506-515 (1967)].
  • V.E. Zakharov, The wave stability in nonlinear media, Sov. Phys. JETP 24, 455-459 (1967).
  • V.E. Zakharov, N.N. Filonenko, The energy spectrum for stochastic oscillations of a fluid surface, Doclady Akad. Nauk SSSR 170, 1292-1295 (1966) [Sov. Phys. Docl. 11, 881-884 (1967).