E
E. A. Kuznetsov
Researcher at Skolkovo Institute of Science and Technology
Publications - 155
Citations - 4327
E. A. Kuznetsov is an academic researcher from Skolkovo Institute of Science and Technology. The author has contributed to research in topics: Vorticity & Vortex. The author has an hindex of 31, co-authored 152 publications receiving 3952 citations. Previous affiliations of E. A. Kuznetsov include Novosibirsk State University & Landau Institute for Theoretical Physics.
Papers
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Soliton stability in plasmas and hydrodynamics
TL;DR: In this paper, the stability of solitons is reviewed for nonlinear conservative media and the main attention is paid to the description of the methods: perturbation theory, inverse scattering transform, Lyapunov method.
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Hamiltonian formalism for nonlinear waves
TL;DR: In this paper, a general method for treating weakly nonlinear waves is presented based on classical perturbation theory and the Hamiltonian reduction technique, and the application of canonical variables to collisionless plasma kinetics is described.
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Solitons in a parametrically unstable plasma
TL;DR: In this paper, it is shown that when analyzing Langmuir waves, a change in the boundary conditions can lead to drastically different mathematical results, and it is also shown that change in boundary conditions may lead to different results.
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Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)
TL;DR: In this article, the authors combine the canonical formalism for free-surface hydrodynamics and conformal mapping to the half-plane to obtain a simple system of pseudo-differential equations for the surface shape and hydrodynamic potential.
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Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
TL;DR: In this article, it was shown that using multi-scale expansions conventionally employed in the theory of nonlinear waves one can transform systems integrable by the IST method into other systems of this type.