Edit Profile Zakharov, Vladimir Evgen’evich Compute Distance To: Compute Author ID: zakharov.vladimir-e Published as: Zakharov, V.; Zakharov, V. E.; Zakharov, Vladimir; Zakharov, Vladimir E. Homepage: http://math.arizona.edu/~zakharov/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID · GND Documents Indexed: 136 Publications since 1962, including 13 Books all top 5 Co-Authors 24 single-authored 17 D’yachenko, Aleksandr Ivanovich 11 Pushkarev, Andrei N. 10 Manakov, S. V. 6 Bogdanov, Leonid Vital’evich 6 Dyachenko, Sergey A. 6 Kuznetsov, Evgeniĭ Aleksandrovich 5 Badulin, Sergei Ilyich 5 Dias, Frédéric 5 Schulman, E. I. 5 Zakharov, Dmitry 4 Balk, Alexander M. 4 Bar’yakhtar, V. G. 4 Chernousenko, V. M. 4 Erokhin, N. S. 4 Guyenne, Philippe 4 Newell, Alan C. 4 Novikov, Sergeĭ Petrovich 3 Kachulin, Dmitriy I. 3 Korotkevich, Aleksandr Olegovich 3 Lushnikov, Pavel Mikhaĭlovich 3 Maslov, Viktor Pavlovich 3 Mikhailov, Alexander Vasil’evich 3 Piterbarg, Leonid I. 3 Resio, Donald T. 3 Shvets, V. F. 3 Sitenko, A. G. 3 Takhtajan, Leon Armenovich 2 Agafontsev, D. S. 2 Aref’eva, Irina Yaroslavna 2 Babanin, Alexander V. 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Faddeev, Lyudvig Dmitrievich 2 Fokas, Athanassios S. 2 Gelash, A. A. 2 Khruslov, Eugene Yakovlevich 2 Kozlov, Valeriĭ Vasil’evich 2 L’vov, Victor S. 2 Mikhajlov, A. V. 2 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 2 Nazarenko, Sergeĭ Vital’evich 2 Pitaevskii, Lev P. 2 Pogorelov, Alekseĭ Vasil’evich 2 Polyakov, Aleksandr Markovich 2 Prokofyev, Andrey O. 2 Resio, Don 2 Sagdeev, Roald Z. 2 Semenov-Tian-Shansky, Michael A. 2 Shabat, Alekseĭ Borisovich 2 Shatashvili, Samson L. 2 Sinaĭ, Yakov Grigor’evich 1 Abanin, Aleksandr Vasil’evich 1 Askhabov, Sultan Nazhmudinovich 1 Belinski, Vladimir A. 1 Borisov, Adrijan Varbanov 1 Bostanov, R. A. 1 Bukhshtaber, Viktor Matveevich 1 Burtsev, S. P. 1 Caulliez, Guillemette 1 Cisternino, Marco 1 Fal’kovich, G. E. 1 Fortov, Vladimir E. 1 Gurarii, V. P. 1 Hadad, Yakir 1 Hwang, Paul A. 1 Ibragimov, Il’dar Abdullovich 1 Karpman, V. I. 1 Kislyakov, Sergeĭ Vital’evich 1 Klimentov, Sergeĭ Borisovich 1 Konopelchenko, Boris Georgievich 1 Korobeĭnik, Yuriĭ Fedorovich 1 Kosmatov, N. E. 1 Krichever, Igor’ Moiseevich 1 Kulish, Petr Petrovich 1 Kusraev, Anatoly Georgievich 1 Kutateladze, Semën Samsonovich 1 Lipatov, Lev N. 1 Lvov, Yuri V. 1 Marchenko, Vladimir Aleksandrovich 1 Maslov, Klavdii V. 1 Matveev, Viktor Anatol’evich 1 Monin, Andrei Sergeevich 1 Monin, Andrey S. 1 Nabelek, Patrik V. 1 Odesskii, Alexander 1 Onorato, Michele 1 Osipov, Yuriĭ Sergeevich 1 Ostrovskiĭ, Iosif Vladimirovich 1 Ostrovsky, Lev A. 1 Pastur, Leonid Andreevich 1 Perrie, William A. 1 Pokrovskiĭ, Valeriĭ Leonidovich 1 Reshetikhin, Nikolai Yu. 1 Rofe-Beketov, Fedor Semenovich 1 Rubakov, Valery A. 1 Rubenchik, Alexander M. 1 Simonov, Yuri A. 1 Sklyanin, Evgeny K. 1 Slavnov, Andrei Alekseevich 1 Smirnov, Fedor A. 1 Sokolov, I. A. ...and 9 more Co-Authors all top 5 Serials 23 Physica D 9 Theoretical and Mathematical Physics 8 Functional Analysis and its Applications 7 Physics Letters. A 7 European Journal of Mechanics. B. Fluids 6 Journal of Fluid Mechanics 5 Russian Mathematical Surveys 5 Soviet Physics. Doklady 3 Nonlinearity 2 Teoreticheskaya i Matematicheskaya Fizika 2 Studies in Applied Mathematics 2 Algebra i Analiz 2 Doklady Akademii Nauk 2 St. Petersburg Mathematical Journal 1 Communications in Mathematical Physics 1 Inverse Problems 1 Letters in Mathematical Physics 1 Soviet Scientific Reviews. Section C 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Theoretical and Computational Fluid Dynamics 1 Journal of Geometry and Physics 1 Duke Mathematical Journal 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Soviet Mathematics 1 Journal of Nonlinear Science 1 Doklady Mathematics 1 Lobachevskii Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 Physical Review Letters 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Soviet Physics, JETP 1 Translations. Series 2. American Mathematical Society all top 5 Fields 79 Partial differential equations (35-XX) 70 Fluid mechanics (76-XX) 39 Dynamical systems and ergodic theory (37-XX) 12 General and overarching topics; collections (00-XX) 9 Geophysics (86-XX) 8 History and biography (01-XX) 8 Quantum theory (81-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 2,619 times in 2,007 Documents Cited by ▼ Year ▼ Theory of solitons. The inverse scattering method. Transl. from the Russian. Zbl 0598.35002Novikov, S.; Manakov, S. V.; Pitaevskii, L. P.; Zakharov, V. E. 572 1984 A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I. Zbl 0303.35024Zakharov, V. E.; Shabat, A. B. 242 1974 Theory of solitons. The method of the inverse problem. Zbl 0598.35003Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P. 204 1980 Kolmogorov spectra of turbulence I. Wave turbulence. Zbl 0786.76002Zakharov, V. E.; L’vov, V. S.; Falkovich, G. 152 1992 Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090Zakharov, V. E.; Shabat, A. B. 147 1980 Korteweg-de Vries equation: a completely integrable Hamiltonian system. Zbl 0257.35074Zakharov, V. E.; Faddeev, L. D. 96 1972 Construction of higher-dimensional nonlinear integrable systems and of their solutions. Zbl 0597.35115Zakharov, V. E.; Manakov, S. V. 66 1985 Modulation instability: The beginning. Zbl 1157.37337Zakharov, V. E.; Ostrovsky, L. A. 51 2009 Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation. Zbl 0767.35082Dyachenko, S.; Newell, A. C.; Pushkarev, A.; Zakharov, V. E. 50 1992 Multi-scale expansions in the theory of systems integrable by the inverse scattering transform. Zbl 0611.35079Zakharov, V. E.; Kuznetsov, E. A. 44 1986 Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions. Zbl 1217.76018Dias, F.; Dyachenko, A. I.; Zakharov, V. E. 39 2008 New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface. Zbl 1016.76062Zakharov, Vladimir E.; Dyachenko, Alexander I.; Vasilyev, Oleg A. 39 2002 To the integrability of the system of two coupled nonlinear Schrödinger equations. Zbl 1194.35435Zakharov, V. E.; Schulman, E. I. 39 1982 Degenerative dispersion laws, motion invariants and kinetic equations. Zbl 1194.37162Zakharov, V. E.; Schulman, E. I. 39 1980 Dispersionless limit of integrable systems in \(2+1\) dimensions. Zbl 0852.35130Zakharov, V. E. 37 1994 Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid. Zbl 0960.76014Zakharov, V. 35 1999 Is free-surface hydrodynamics an integrable system? Zbl 0961.76511D’yachenko, A. I.; Zakharov, V. E. 31 1994 What is integrability? Zbl 0724.00014Zakharov, Vladimir E. (ed.) 30 1991 Inverse scattering method with variable spectral parameter. Zbl 0639.35074Burtsev, S. P.; Zakharov, V. E.; Mikhajlov, A. V. 29 1987 On the complete integrability of a nonlinear Schrödinger equation. Zbl 0298.35016Zakharov, V. E.; Manakov, S. V. 29 1975 Important developments in soliton theory. Zbl 0801.00009Fokas, A. S. (ed.); Zakharov, V. E. (ed.) 28 1993 On the theory of recursion operator. Zbl 0594.35080Zakharov, V. E.; Konopelchenko, B. G. 26 1984 Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability. Zbl 1343.37069Gelash, A. A.; Zakharov, V. E. 25 2014 Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations. Zbl 0963.37068Zakharov, Vladimir E. 25 1998 Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D. 25 1974 The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032Fokas, A. S.; Zakharov, V. E. 21 1992 Benney equations and quasiclassical approximation in the method of the inverse problem. Zbl 0453.35086Zakharov, V. E. 20 1980 Freak waves as nonlinear stage of Stokes wave modulation instability. Zbl 1101.76016Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O. 18 2006 Turbulence of capillary waves – theory and numerical simulation. Zbl 0960.76039Pushkarev, A. N.; Zakharov, V. E. 18 2000 Computer simulation of wave collapses in the nonlinear Schrödinger equation. Zbl 0735.76085Kosmatov, N. E.; Shvets, V. F.; Zakharov, V. E. 17 1991 Integrability of nonlinear systems and perturbation theory. Zbl 0807.35107Zakharov, V. E.; Schulman, E. I. 17 1991 On the Benney equations. Zbl 1194.35338Zakharov, V. E. 17 1981 Variational principle for equations integrable by the inverse problem method. Zbl 0473.35075Zakharov, V. E.; Mikhajlov, A. V. 17 1980 The Boussinesq equation revisited. Zbl 0997.35068Bogdanov, L. V.; Zakharov, V. E. 16 2002 Über die vollständige Integrabilität der nichtlinearen Schrödingergleichung. Zbl 0293.35025Zakharov, V. E.; Manakov, S. V. 16 1974 Turbulence in integrable systems. Zbl 1178.37099Zakharov, Vladimir E. 15 2009 Weakly nonlinear waves on the surface of an ideal finite depth fluid. Zbl 0914.76015Zakharov, V. E. 14 1998 Stability of weak-turbulence Kolmogorov spectra. Zbl 0898.76047Balk, A. M.; Zakharov, V. E. 14 1998 Wave turbulence in one-dimensional models. Zbl 0986.76032Zakharov, V. E.; Guyenne, P.; Pushkarev, A. N.; Dias, F. 13 2001 On additional motion invariants of classical Hamiltonian wave systems. Zbl 0651.35080Zakharov, V. E.; Schulman, E. I. 13 1988 Multidimensional nonlinear integrable systems and methods for constructing their solutions. Zbl 0582.35111Zakharov, V. E.; Manakov, S. V. 13 1985 Weak turbulent approach to the wind-generated gravity sea waves. Zbl 1098.76519Pushkarev, A.; Resio, D.; Zakharov, V. 12 2003 Numerical verification of the weak turbulent model for swell evolution. Zbl 1143.76028Korotkevich, A. O.; Pushkarev, A.; Resio, D.; Zakharov, V. E. 11 2008 Five-wave interaction on the surface of deep fluid. Zbl 1194.76026Dyachenko, A. I.; Lvov, Y. V.; Zakharov, V. E. 11 1995 On the dressing method. Zbl 0717.58022Zakharov, V. E. 11 1990 Hamiltonian formalism for systems of hydrodynamic type. Zbl 0557.76008Zakharov, V. E.; Kuznetsov, E. A. 10 1984 Integrable turbulence and formation of rogue waves. Zbl 1330.35391Agafontsev, D. S.; Zakharov, V. E. 9 2015 The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047Newell, A. C.; Zakharov, V. E. 9 2008 Hidden conservation laws in hydrodynamics; energy and dissipation rate fluctuation spectra in strong turbulence. Zbl 0769.76027Yakhot, Victor; Zakharov, Vladimir 9 1993 Spectrum of acoustic turbulence. Zbl 0223.76042Zakharov, V. E.; Sagdeev, R. Z. 9 1970 Dynamics of the Bose-Einstein condensation. Zbl 1067.81029Zakharov, Vladimir E.; Nazarenko, Sergey V. 8 2005 High-Jacobian approximation in the free surface dynamics of an ideal fluid. Zbl 0899.76069Zakharov, V. E.; Dyachenko, A. I. 8 1996 Bounded solutions of KdV and non-periodic one-gap potentials in quantum mechanics. Zbl 1382.37071Zakharov, Dmitry V.; Dyachenko, Sergey A.; Zakharov, Vladimir E. 7 2016 Weakly turbulent laws of wind-wave growth. Zbl 1168.76332Badulin, Sergei I.; Babanin, Alexander V.; Zakharov, Vladimir E.; Resio, Donald 7 2007 Nonlinear waves and weak turbulence. Transl. from the Russian. Zbl 0879.00029Zakharov, V. E. (ed.) 7 1998 Die Benneyschen Gleichungen und eine quasiklassische Approximation in der Methode eines inversen Problems. Zbl 0434.35084Zakharov, V. E. 7 1980 Generalization of the inverse scattering problem method. Zbl 0413.47006Zakharov, V. E.; Manakov, S. V. 7 1977 Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface. Zbl 1415.76050Dyachenko, A. I.; Lushnikov, P. M.; Zakharov, V. E. 6 2019 The integration of Einstein’s equations, by the method of inverse scattering, and exact soliton solutions. Zbl 0414.76098Belinsky, V.; Zakharov, V. 6 1979 Integrable turbulence generated from modulational instability of cnoidal waves. Zbl 1406.35342Agafontsev, D. S.; Zakharov, V. E. 5 2016 About shape of giant breather. Zbl 1193.76029Zakharov, V. E.; Dyachenko, A. I. 5 2010 Solitons. Zbl 0645.76002Trullinger, S. E. (ed.); Zakharov, V. E. (ed.); Pokrovskij, V. L. (ed.) 5 1986 Exact solutions to the problem of the parametric interaction of three- dimensional wave packets. Zbl 0363.35024Zakharov, V. E. 5 1976 Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion. Zbl 1419.76065Dyachenko, A. I.; Dyachenko, S. A.; Lushnikov, P. M.; Zakharov, V. E. 4 2019 Primitive potentials and bounded solutions of the KdV equation. Zbl 1415.37096Dyachenko, S.; Zakharov, D.; Zakharov, V. 4 2016 Application of inverse scattering method to problems of differential geometry. Zbl 1032.35164Zakharov, V. 4 2002 Wave collapses. Proceedings of the international workshop on wave collapse physics, held in Novosibirsk, USSR, 20-27 March, 1988. Zbl 0741.00083Zakharov, V. E. (ed.) 4 1991 Canonical variables for Rossby and drift waves in plasma. Zbl 0642.76130Zakharov, V. E.; Piterbarg, L. I. 4 1987 Non-periodic one-dimensional ideal conductors and integrable turbulence. Zbl 1366.81160Zakharov, Dmitry V.; Zakharov, Vladimir E.; Dyachenko, Sergey A. 3 2016 Numerical simulation of surface waves instability on a homogeneous grid. Zbl 1364.76030Korotkevich, Alexander O.; Dyachenko, Alexander I.; Zakharov, Vladimir E. 3 2016 A dynamic equation for water waves in one horizontal dimension. Zbl 1258.76037Dyachenko, A. I.; Zakharov, V. E. 3 2012 On energy balance in wind-driven seas. Zbl 1274.86010Zakharov, V. E.; Badulin, S. I. 3 2011 Nonlinear coherent phenomena in continuous media. Zbl 1106.35330Kuznetsov, E. A.; Zakharov, V. E. 3 2000 Wave turbulence in one-dimensional models. Zbl 1003.76040Guyenne, Philippe; Zakharov, Vladimir; Pushkarev, Andrei; Dias, Frédéric 3 2000 Reductions in systems integrable by the method of the inverse scattering problem. Zbl 0961.35157Zakharov, V. E.; Manakov, S. V. 3 1998 Toward an integrable model of deep water. Zbl 0972.76508Dyachenko, A. I.; Zakharov, V. E. 3 1996 Conservation and scattering in nonlinear wave systems. Zbl 0832.35134Zakharov, V.; Balk, A.; Schulman, E. 3 1993 Kinetic equation for point vortices in a shear flow. Zbl 0755.35095Nazarenko, S. V.; Zakharov, V. E. 3 1992 Stability of weak turbulence Kolmogorov spectra. Zbl 0695.76026Balk, A. M.; Zakharov, V. E. 3 1988 Super compact equation for water waves. Zbl 1460.76092Dyachenko, A. I.; Kachulin, D. I.; Zakharov, V. E. 2 2017 Probability distribution functions of freak waves: nonlinear versus linear model. Zbl 1348.35184Dyachenko, Alexander I.; Kachulin, Dmitriy I.; Zakharov, Vladimir E. 2 2016 Universality of sea wave growth and its physical roots. Zbl 1382.76036Zakharov, Vladimir E.; Badulin, Sergei I.; Hwang, Paul A.; Caulliez, Guillemette 2 2015 On optimal canonical variables in the theory of ideal fluid with free surface. Zbl 1070.35035Lushnikov, Pavel M.; Zakharov, Vladimir E. 2 2005 Quasi-two-dimensional hydrodynamics and interaction of vortex tubes. Zbl 0947.76011Zakharov, V. E. 2 1999 Computer simulation of Langmuir collapse. Zbl 0735.76084Dyachenko, A. I.; Pushkarev, A. N.; Rubenchik, A. M.; Sagdeev, R. Z.; Shvets, V. F.; Zakharov, V. E. 2 1991 Variational principle and canonical variables in magnetohydrodynamics. Zbl 0217.56603Zakharov, V. E.; Kuznetsov, E. A. 2 1970 On the nonlinear theory of the damping of plasma waves. Zbl 0132.23005Zakharov, V. E.; Karpman, V. I. 2 1962 Primitive solutions of the Korteweg-de Vries equation. Zbl 1456.37071Dyachenko, S. A.; Nabelek, P.; Zakharov, D. V.; Zakharov, V. E. 1 2020 Non-periodic one-gap potentials in quantum mechanics. Zbl 1402.35266Zakharov, Dmitry; Zakharov, Vladimir 1 2018 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. 1 2014 Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M. 1 2014 Transparency of strong gravitational waves. Zbl 1286.53024Hadad, Y.; Zakharov, V. 1 2014 Quasibreathers in the MMT model. Zbl 1308.76045Pushkarev, A.; Zakharov, V. E. 1 2013 Cascade generation of zonal flows by the drift wave turbulence. Zbl 1234.86001Balk, Alexander M.; Zakharov, Vladimir E. 1 2009 Freak waves: peculiarities of numerical simulations. Zbl 1191.76065Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O. 1 2008 Numerical verification of the Hasselmann equation. Zbl 1310.76027Korotkevich, Alexander O.; Pushkarev, Andrei N.; Resio, Don; Zakharov, Vladimir E. 1 2007 Integration of the Gauss-Codazzi equations. Zbl 0998.53004Zakharov, V. E. 1 2001 The equilibrium range cascades of wind-generated waves. Zbl 0944.76009Perrie, William; Zakharov, Vladimir 1 1999 The nonlinear Schrödinger equation. Proceedings of the conference held in Chernogolovka, July 25–August 3, 1994. Zbl 1194.00094Mikhailov, A. V.; Kuznetsov, E. A.; Newell, A. C.; Zakharov, V. E. 1 1995 Integrable \((1+1)\)-dimensional systems and the Riemann problem with a shift. Zbl 0811.35094Bogdanov, L. V.; Zakharov, V. E. 1 1994 Primitive solutions of the Korteweg-de Vries equation. Zbl 1456.37071Dyachenko, S. A.; Nabelek, P.; Zakharov, D. V.; Zakharov, V. E. 1 2020 Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface. Zbl 1415.76050Dyachenko, A. I.; Lushnikov, P. M.; Zakharov, V. E. 6 2019 Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion. Zbl 1419.76065Dyachenko, A. I.; Dyachenko, S. A.; Lushnikov, P. M.; Zakharov, V. E. 4 2019 Non-periodic one-gap potentials in quantum mechanics. Zbl 1402.35266Zakharov, Dmitry; Zakharov, Vladimir 1 2018 Super compact equation for water waves. Zbl 1460.76092Dyachenko, A. I.; Kachulin, D. I.; Zakharov, V. E. 2 2017 Bounded solutions of KdV and non-periodic one-gap potentials in quantum mechanics. Zbl 1382.37071Zakharov, Dmitry V.; Dyachenko, Sergey A.; Zakharov, Vladimir E. 7 2016 Integrable turbulence generated from modulational instability of cnoidal waves. Zbl 1406.35342Agafontsev, D. S.; Zakharov, V. E. 5 2016 Primitive potentials and bounded solutions of the KdV equation. Zbl 1415.37096Dyachenko, S.; Zakharov, D.; Zakharov, V. 4 2016 Non-periodic one-dimensional ideal conductors and integrable turbulence. Zbl 1366.81160Zakharov, Dmitry V.; Zakharov, Vladimir E.; Dyachenko, Sergey A. 3 2016 Numerical simulation of surface waves instability on a homogeneous grid. Zbl 1364.76030Korotkevich, Alexander O.; Dyachenko, Alexander I.; Zakharov, Vladimir E. 3 2016 Probability distribution functions of freak waves: nonlinear versus linear model. Zbl 1348.35184Dyachenko, Alexander I.; Kachulin, Dmitriy I.; Zakharov, Vladimir E. 2 2016 Integrable turbulence and formation of rogue waves. Zbl 1330.35391Agafontsev, D. S.; Zakharov, V. E. 9 2015 Universality of sea wave growth and its physical roots. Zbl 1382.76036Zakharov, Vladimir E.; Badulin, Sergei I.; Hwang, Paul A.; Caulliez, Guillemette 2 2015 Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability. Zbl 1343.37069Gelash, A. A.; Zakharov, V. E. 25 2014 Ludvig Dmitrievich Faddeev (on his 80th birthday). Zbl 1311.01030Aref’eva, I. Ya.; Buchstaber, V. M.; Velikhov, E. P.; Zhizhchenko, A. B.; Zakharov, V. E.; Ibragimov, I. A.; Kislyakov, S. V.; Kozlov, V. V.; Kulish, P. P.; Lipatov, L. N.; Maslov, V. P.; Matveev, V. A.; Novikov, S. P.; Osipov, Yu. S.; Polyakov, A. M.; Rubakov, V. A.; Semenov-Tian-Shansky, M. A.; Simonov, Yu. A.; Sinai, Ya. G.; Slavnov, A. A.; Sokolov, I. A.; Takhtajan, L. A.; Fortov, V. E.; Shatashvili, S. L. 1 2014 Five-wave classical scattering matrix and integrable equations. Zbl 1308.76043Zakharov, V. E.; Odesskii, A. V.; Cisternino, M.; Onorato, M. 1 2014 Transparency of strong gravitational waves. Zbl 1286.53024Hadad, Y.; Zakharov, V. 1 2014 Quasibreathers in the MMT model. Zbl 1308.76045Pushkarev, A.; Zakharov, V. E. 1 2013 A dynamic equation for water waves in one horizontal dimension. Zbl 1258.76037Dyachenko, A. I.; Zakharov, V. E. 3 2012 On energy balance in wind-driven seas. Zbl 1274.86010Zakharov, V. E.; Badulin, S. I. 3 2011 About shape of giant breather. Zbl 1193.76029Zakharov, V. E.; Dyachenko, A. I. 5 2010 Modulation instability: The beginning. Zbl 1157.37337Zakharov, V. E.; Ostrovsky, L. A. 51 2009 Turbulence in integrable systems. Zbl 1178.37099Zakharov, Vladimir E. 15 2009 Cascade generation of zonal flows by the drift wave turbulence. Zbl 1234.86001Balk, Alexander M.; Zakharov, Vladimir E. 1 2009 Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions. Zbl 1217.76018Dias, F.; Dyachenko, A. I.; Zakharov, V. E. 39 2008 Numerical verification of the weak turbulent model for swell evolution. Zbl 1143.76028Korotkevich, A. O.; Pushkarev, A.; Resio, D.; Zakharov, V. E. 11 2008 The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047Newell, A. C.; Zakharov, V. E. 9 2008 Freak waves: peculiarities of numerical simulations. Zbl 1191.76065Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O. 1 2008 Weakly turbulent laws of wind-wave growth. Zbl 1168.76332Badulin, Sergei I.; Babanin, Alexander V.; Zakharov, Vladimir E.; Resio, Donald 7 2007 Numerical verification of the Hasselmann equation. Zbl 1310.76027Korotkevich, Alexander O.; Pushkarev, Andrei N.; Resio, Don; Zakharov, Vladimir E. 1 2007 Freak waves as nonlinear stage of Stokes wave modulation instability. Zbl 1101.76016Zakharov, V. E.; Dyachenko, A. I.; Prokofiev, A. O. 18 2006 Dynamics of the Bose-Einstein condensation. Zbl 1067.81029Zakharov, Vladimir E.; Nazarenko, Sergey V. 8 2005 On optimal canonical variables in the theory of ideal fluid with free surface. Zbl 1070.35035Lushnikov, Pavel M.; Zakharov, Vladimir E. 2 2005 Weak turbulent approach to the wind-generated gravity sea waves. Zbl 1098.76519Pushkarev, A.; Resio, D.; Zakharov, V. 12 2003 New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface. Zbl 1016.76062Zakharov, Vladimir E.; Dyachenko, Alexander I.; Vasilyev, Oleg A. 39 2002 The Boussinesq equation revisited. Zbl 0997.35068Bogdanov, L. V.; Zakharov, V. E. 16 2002 Application of inverse scattering method to problems of differential geometry. Zbl 1032.35164Zakharov, V. 4 2002 Wave turbulence in one-dimensional models. Zbl 0986.76032Zakharov, V. E.; Guyenne, P.; Pushkarev, A. N.; Dias, F. 13 2001 Integration of the Gauss-Codazzi equations. Zbl 0998.53004Zakharov, V. E. 1 2001 Turbulence of capillary waves – theory and numerical simulation. Zbl 0960.76039Pushkarev, A. N.; Zakharov, V. E. 18 2000 Nonlinear coherent phenomena in continuous media. Zbl 1106.35330Kuznetsov, E. A.; Zakharov, V. E. 3 2000 Wave turbulence in one-dimensional models. Zbl 1003.76040Guyenne, Philippe; Zakharov, Vladimir; Pushkarev, Andrei; Dias, Frédéric 3 2000 Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid. Zbl 0960.76014Zakharov, V. 35 1999 Quasi-two-dimensional hydrodynamics and interaction of vortex tubes. Zbl 0947.76011Zakharov, V. E. 2 1999 The equilibrium range cascades of wind-generated waves. Zbl 0944.76009Perrie, William; Zakharov, Vladimir 1 1999 Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations. Zbl 0963.37068Zakharov, Vladimir E. 25 1998 Weakly nonlinear waves on the surface of an ideal finite depth fluid. Zbl 0914.76015Zakharov, V. E. 14 1998 Stability of weak-turbulence Kolmogorov spectra. Zbl 0898.76047Balk, A. M.; Zakharov, V. E. 14 1998 Nonlinear waves and weak turbulence. Transl. from the Russian. Zbl 0879.00029Zakharov, V. E. (ed.) 7 1998 Reductions in systems integrable by the method of the inverse scattering problem. Zbl 0961.35157Zakharov, V. E.; Manakov, S. V. 3 1998 High-Jacobian approximation in the free surface dynamics of an ideal fluid. Zbl 0899.76069Zakharov, V. E.; Dyachenko, A. I. 8 1996 Toward an integrable model of deep water. Zbl 0972.76508Dyachenko, A. I.; Zakharov, V. E. 3 1996 Five-wave interaction on the surface of deep fluid. Zbl 1194.76026Dyachenko, A. I.; Lvov, Y. V.; Zakharov, V. E. 11 1995 The nonlinear Schrödinger equation. Proceedings of the conference held in Chernogolovka, July 25–August 3, 1994. Zbl 1194.00094Mikhailov, A. V.; Kuznetsov, E. A.; Newell, A. C.; Zakharov, V. E. 1 1995 Dispersionless limit of integrable systems in \(2+1\) dimensions. Zbl 0852.35130Zakharov, V. E. 37 1994 Is free-surface hydrodynamics an integrable system? Zbl 0961.76511D’yachenko, A. I.; Zakharov, V. E. 31 1994 Integrable \((1+1)\)-dimensional systems and the Riemann problem with a shift. Zbl 0811.35094Bogdanov, L. V.; Zakharov, V. E. 1 1994 Important developments in soliton theory. Zbl 0801.00009Fokas, A. S. (ed.); Zakharov, V. E. (ed.) 28 1993 Hidden conservation laws in hydrodynamics; energy and dissipation rate fluctuation spectra in strong turbulence. Zbl 0769.76027Yakhot, Victor; Zakharov, Vladimir 9 1993 Conservation and scattering in nonlinear wave systems. Zbl 0832.35134Zakharov, V.; Balk, A.; Schulman, E. 3 1993 Kolmogorov spectra of turbulence I. Wave turbulence. Zbl 0786.76002Zakharov, V. E.; L’vov, V. S.; Falkovich, G. 152 1992 Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation. Zbl 0767.35082Dyachenko, S.; Newell, A. C.; Pushkarev, A.; Zakharov, V. E. 50 1992 The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032Fokas, A. S.; Zakharov, V. E. 21 1992 Kinetic equation for point vortices in a shear flow. Zbl 0755.35095Nazarenko, S. V.; Zakharov, V. E. 3 1992 What is integrability? Zbl 0724.00014Zakharov, Vladimir E. (ed.) 30 1991 Computer simulation of wave collapses in the nonlinear Schrödinger equation. Zbl 0735.76085Kosmatov, N. E.; Shvets, V. F.; Zakharov, V. E. 17 1991 Integrability of nonlinear systems and perturbation theory. Zbl 0807.35107Zakharov, V. E.; Schulman, E. I. 17 1991 Wave collapses. Proceedings of the international workshop on wave collapse physics, held in Novosibirsk, USSR, 20-27 March, 1988. Zbl 0741.00083Zakharov, V. E. (ed.) 4 1991 Computer simulation of Langmuir collapse. Zbl 0735.76084Dyachenko, A. I.; Pushkarev, A. N.; Rubenchik, A. M.; Sagdeev, R. Z.; Shvets, V. F.; Zakharov, V. E. 2 1991 Decreasing solutions and dispersion laws in the \((2n+1)\)-dimensional dressing method. Zbl 0791.35110Bogdanov, L. V.; Zakharov, V. E. 1 1991 On the dressing method. Zbl 0717.58022Zakharov, V. E. 11 1990 The algebra of integrals of motion of two-dimensional hydrodynamics in Clebsch variables. Zbl 0850.76007Zakharov, V. E. 1 1989 On additional motion invariants of classical Hamiltonian wave systems. Zbl 0651.35080Zakharov, V. E.; Schulman, E. I. 13 1988 Stability of weak turbulence Kolmogorov spectra. Zbl 0695.76026Balk, A. M.; Zakharov, V. E. 3 1988 Inverse scattering method with variable spectral parameter. Zbl 0639.35074Burtsev, S. P.; Zakharov, V. E.; Mikhajlov, A. V. 29 1987 Canonical variables for Rossby and drift waves in plasma. Zbl 0642.76130Zakharov, V. E.; Piterbarg, L. I. 4 1987 Hamiltonian description of baroclinic Rossby waves. Zbl 0642.76030Zakharov, V. E.; Monin, A. S.; Piterbarg, L. I. 1 1987 Multi-scale expansions in the theory of systems integrable by the inverse scattering transform. Zbl 0611.35079Zakharov, V. E.; Kuznetsov, E. A. 44 1986 Solitons. Zbl 0645.76002Trullinger, S. E. (ed.); Zakharov, V. E. (ed.); Pokrovskij, V. L. (ed.) 5 1986 Construction of higher-dimensional nonlinear integrable systems and of their solutions. Zbl 0597.35115Zakharov, V. E.; Manakov, S. V. 66 1985 Multidimensional nonlinear integrable systems and methods for constructing their solutions. Zbl 0582.35111Zakharov, V. E.; Manakov, S. V. 13 1985 Theory of solitons. The inverse scattering method. Transl. from the Russian. Zbl 0598.35002Novikov, S.; Manakov, S. V.; Pitaevskii, L. P.; Zakharov, V. E. 572 1984 On the theory of recursion operator. Zbl 0594.35080Zakharov, V. E.; Konopelchenko, B. G. 26 1984 Hamiltonian formalism for systems of hydrodynamic type. Zbl 0557.76008Zakharov, V. E.; Kuznetsov, E. A. 10 1984 Method of the inverse scattering problem with spectral parameter on an algebraic curve. Zbl 0596.35120Zakharov, V. E.; Mikhaĭlov, A. V. 1 1983 To the integrability of the system of two coupled nonlinear Schrödinger equations. Zbl 1194.35435Zakharov, V. E.; Schulman, E. I. 39 1982 On the Benney equations. Zbl 1194.35338Zakharov, V. E. 17 1981 Theory of solitons. The method of the inverse problem. Zbl 0598.35003Zakharov, V. E.; Manakov, S. V.; Novikov, S. P.; Pitaevskiĭ, L. P. 204 1980 Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II. Zbl 0448.35090Zakharov, V. E.; Shabat, A. B. 147 1980 Degenerative dispersion laws, motion invariants and kinetic equations. Zbl 1194.37162Zakharov, V. E.; Schulman, E. I. 39 1980 Benney equations and quasiclassical approximation in the method of the inverse problem. Zbl 0453.35086Zakharov, V. E. 20 1980 Variational principle for equations integrable by the inverse problem method. Zbl 0473.35075Zakharov, V. E.; Mikhajlov, A. V. 17 1980 Die Benneyschen Gleichungen und eine quasiklassische Approximation in der Methode eines inversen Problems. Zbl 0434.35084Zakharov, V. E. 7 1980 The integration of Einstein’s equations, by the method of inverse scattering, and exact soliton solutions. Zbl 0414.76098Belinsky, V.; Zakharov, V. 6 1979 Generalization of the inverse scattering problem method. Zbl 0413.47006Zakharov, V. E.; Manakov, S. V. 7 1977 Exact solutions to the problem of the parametric interaction of three- dimensional wave packets. Zbl 0363.35024Zakharov, V. E. 5 1976 On the complete integrability of a nonlinear Schrödinger equation. Zbl 0298.35016Zakharov, V. E.; Manakov, S. V. 29 1975 A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I. Zbl 0303.35024Zakharov, V. E.; Shabat, A. B. 242 1974 Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D. 25 1974 Über die vollständige Integrabilität der nichtlinearen Schrödingergleichung. Zbl 0293.35025Zakharov, V. E.; Manakov, S. V. 16 1974 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,202 Authors 46 Zakharov, Vladimir Evgen’evich 40 Geng, Xianguo 38 Ma, Wen-Xiu 27 Fokas, Athanassios S. 27 Gerdzhikov, Vladimir Stefanov 27 Konopelchenko, Boris Georgievich 20 Pogrebkov, Andrei K. 19 Ablowitz, Mark Jay 19 Ferapontov, Evgeny Vladimirovich 18 Fan, Engui 18 Nazarenko, Sergeĭ Vital’evich 18 Santini, Paolo Maria 17 Biondini, Gino 16 Krichever, Igor’ Moiseevich 15 Khabibullin, Ismagil Talgatovich 15 Prykarpatsky, Anatoliy Karolevych 14 Gesztesy, Fritz 14 He, Jingsong 14 Saut, Jean-Claude 13 Boiti, Marco 13 Lvov, Yuri V. 13 Malomed, Boris A. 13 Pempinelli, Flora 12 Newell, Alan C. 12 Pavlov, Maxim V. 12 Prinari, Barbara 12 Samoĭlenko, Valeriĭ Grygorovych 11 Dubrovsky, V. G. 11 D’yachenko, Aleksandr Ivanovich 11 Grinevich, Pëtr Georgievich 11 Osborne, Alfred R. 11 Pelinovsky, Dmitry Efimovich 11 Shabat, Alekseĭ Borisovich 11 Zenchuk, Alexandre I. 10 Balk, Alexander M. 10 Cieśliński, Jan L. 10 Ivanov, Rossen I. 10 Klein, Christian 10 Kulish, Petr Petrovich 10 Mikhailov, Alexander Vasil’evich 10 Morozov, Oleg I. 10 Zhu, Junyi 9 Bogdanov, Leonid Vital’evich 9 Dutykh, Denys 9 Dyachenko, Sergey A. 9 Escobedo Martínez, Miguel 9 Onorato, Miguel 9 Sokolov, Vladimir Vyacheslavovich 9 Wang, Dengshan 8 Biswas, Anjan 8 Chen, Jinbing 8 Craig, Walter 8 Deconinck, Bernard 8 Degasperis, Antonio 8 Guo, Boling 8 Odesskii, Alexander 8 Orlov, Aleksandr Yu. 8 Qiao, Zhijun 8 Sakhnovich, Alexander L. 8 Segur, Harvey 8 Shamin, Roman Vyacheslavovich 8 Tzvetkov, Nikolay 8 Velázquez, Juan J. L. 8 Wazwaz, Abdul-Majid Abdul-Rahman 7 Calogero, Francesco A. 7 Connaughton, Colm P. 7 Dai, Huihui 7 Dias, Frédéric 7 Dubrovin, Boris Anatol’evich 7 Khusnutdinova, Karima Robertovna 7 Korotyaev, Evgeny L. 7 Prykarpatsky, Yarema Anatoliyovych 7 Sattinger, David H. 7 Sulem, Catherine 7 Tran, Minh-Binh 7 Xue, Bo 6 Boutet de Monvel, Anne Marie 6 Carroll, Robert L. 6 Cheng, Yi 6 Doliwa, Adam 6 El, Gennady A. 6 Grahovski, Georgi G. 6 Gramstad, Odin 6 Harnad, John 6 He, Guoliang 6 Hou, Yu 6 Kiselev, Vladimir Valer’evich 6 Kostov, Nikolay A. 6 Lushnikov, Pavel Mikhaĭlovich 6 Milewski, Paul A. 6 Novikov, Roman G. 6 Pelinovsky, Efim 6 Pushkarev, Andrei N. 6 Sergyeyev, Artur 6 Shapovalov, Aleksandr V. 6 Shchesnovich, Valery S. 6 Shrira, Victor I. 6 Smirnov, Alexander O. 6 Spohn, Herbert 6 Tian, Shoufu ...and 2,102 more Authors all top 5 Cited in 237 Serials 193 Journal of Mathematical Physics 192 Physica D 165 Theoretical and Mathematical Physics 88 Physics Letters. 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Theory, Methods & Applications 3 Communications on Pure and Applied Mathematics 3 Physics Reports 3 Theoretical and Computational Fluid Dynamics 3 Chinese Annals of Mathematics. Series B 3 Applied Numerical Mathematics 3 Journal of the American Mathematical Society 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Russian Mathematics 3 Nuclear Physics, B, Proceedings Supplements 3 Journal of Applied Mechanics and Technical Physics 3 Journal of Mathematical Fluid Mechanics 3 Physical Review Letters 3 Advances in Difference Equations 3 Journal of Statistical Mechanics: Theory and Experiment 3 Waves in Random and Complex Media 3 Communications in Theoretical Physics ...and 137 more Serials all top 5 Cited in 56 Fields 1,316 Partial differential equations (35-XX) 830 Dynamical systems and ergodic theory (37-XX) 416 Fluid mechanics (76-XX) 217 Quantum theory (81-XX) 126 Ordinary differential equations (34-XX) 113 Statistical mechanics, structure of matter (82-XX) 98 Global analysis, analysis on manifolds (58-XX) 88 Numerical analysis (65-XX) 69 Differential geometry (53-XX) 67 Operator theory (47-XX) 65 Optics, electromagnetic theory (78-XX) 61 Algebraic geometry (14-XX) 59 Mechanics of particles and systems (70-XX) 45 Difference and functional equations (39-XX) 42 Geophysics (86-XX) 38 Nonassociative rings and algebras (17-XX) 27 Mechanics of deformable solids (74-XX) 25 Relativity and gravitational theory (83-XX) 24 Special functions (33-XX) 23 Functions of a complex variable (30-XX) 20 Integral equations (45-XX) 20 Computer science (68-XX) 16 Topological groups, Lie groups (22-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Probability theory and stochastic processes (60-XX) 9 History and biography (01-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Functional analysis (46-XX) 7 Approximations and expansions (41-XX) 7 Biology and other natural sciences (92-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Associative rings and algebras (16-XX) 4 Potential theory (31-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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