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Please use this identifier to cite or link to this item: https://elib.bsu.by/handle/123456789/254350
Title: Dynamics of Distorted Solitons in the Modified Zakharov–Kuznetsov Model
Authors: Omel’yanov, G. A.
Orozco-Casillas, G. A.
Keywords: ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика
Issue Date: 2019
Publisher: Minsk : Education and Upbringing
Citation: Nonlinear Phenomena in Complex Systems. - 2019. - Vol. 22, N 3. - P. 242-250
Abstract: We consider 1 + 2-dimensional Zakharov-Kuznetsov type equation with nonlinearity uκ, κ > 1, and with small dispersion ε. The main result consists in the construction of the soliton type asymptotics which describes the influence of long wave perturbations of the initial wave front and amplitude. It turned out that the correctness condition for the asymptotic solution is similar to the stability condition known for the case of small perturbations of the classical ZK equation. Results of numerical simulations are presented.
URI: https://elib.bsu.by/handle/123456789/254350
ISSN: 1561-4085
Licence: info:eu-repo/semantics/restrictedAccess
Appears in Collections:2019. Volume 22. Number 3

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