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

Abstract

In 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 well-known 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 non-integrable nonlinear evolution equations. Graphical representation of obtained solutions is demonstrated.