V
Vladimir E. Zakharov
Researcher at University of Arizona
Publications - 394
Citations - 26418
Vladimir E. Zakharov is an academic researcher from University of Arizona. The author has contributed to research in topics: Nonlinear system & Wave turbulence. The author has an hindex of 74, co-authored 381 publications receiving 24220 citations. Previous affiliations of Vladimir E. Zakharov include Skolkovo Institute of Science and Technology & Russian Academy of Sciences.
Papers
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Wave turbulence in one-dimensional models
TL;DR: In this article, a two-parameter nonlinear dispersive wave equation proposed by Majda, McLaughlin and Tabak is studied analytically and numerically as a model for the study of wave turbulence in one-dimensional systems.
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Bound State Soliton Gas Dynamics Underlying the Spontaneous Modulational Instability.
Andrey Gelash,Andrey Gelash,D. S. Agafontsev,D. S. Agafontsev,Vladimir E. Zakharov,Vladimir E. Zakharov,Gennady El,Stéphane Randoux,Pierre Suret +8 more
TL;DR: This Letter proposes a theoretical model of the asymptotic stage of the noise-induced MI based on N-soliton solutions of the focusing one-dimensional nonlinear Schrödinger equation and reveals a remarkable agreement between spectral and statistical properties of the long-term evolution of the MI and those of the constructed multisoliton, random-phase bound states.
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Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering Transform
TL;DR: In this article, the self-duality equations in the specific case of potentials independent of one of the coordinates are reduced to a relativistic-invariant system in the (2-1)-dimensional space-time.
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Dynamics of the Bose–Einstein condensation
TL;DR: In this article, a statistical description of the condensate is nonlinearly coupled to wave turbulence described by a kinetic equation, and the three-wave interaction replaces the four-wave process operating on the preceding stages of an explosive condensor formation and its initial growth.
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The Boussinesq equation revisited
TL;DR: In this paper, the continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂-dressing method, and a systematic study of the solitonic sector is presented.