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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Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
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Modulation instability: The beginning
TL;DR: In this article, the authors discuss the early history of the field of modulation instability in modern theory of nonlinear waves, and demonstrate how scientific demand resulted in independent and almost simultaneous publications by many different authors on modulation instability, a phenomenon resulting in a variety of non-linear processes such as envelope solitons, envelope shocks, freak waves, etc.
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Korteweg-de Vries equation: A completely integrable Hamiltonian system
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Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction
TL;DR: In this article, it was shown that two-dimensional solitons do not interact at all, unlike one-dimensional ones, and explicit analytic formulae for 2D solitions are given.
Journal Article
Interaction between solitons in a stable medium
TL;DR: In this paper, it was shown that Eq. (1) can be treated as a two-dimensional variant of the well known parabolic equation that describes stationary wave beams in a nonlinear medium.