Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation

Gaukhar Shaikhova

2018

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DOI 10.31489/2018m4/94-98

Data confidence 70 medium

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Abstract

Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equationIn this paper, the two-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation is investigated.The basic set of fluid equations is reduced to ZKB equation.This equation is a two-dimensional analog of the wellknown Korteweg-de Vries-Burgers equation, and also is typical example of so-called dispersive equations which attract the considerable attention of both pure and applied mathematicians in the past decades.We obtain traveling wave solutions for two-dimensional Zakharov-Kuznetsov-Burgers equation by modified Kudryashov method which is a powerful method for obtaining exact solutions of integrable and nonintegrable nonlinear evolution equations.Graphical representation of obtained solutions is demonstrated.