Conservation laws and solutions of a generalized coupled (2+1)-dimensional Burgers system

Abstract

In this paper we study a generalized coupled (2+1)-dimensional Burgers system, which is a nonlinear version of a bilinear system under some dependent variable transformations. It was introduced recently in the literature and has attracted a fair amount of interest from physicists. The Lie symmetry analysis together with the Kudryashov approach are utilized to obtain new travelling wave solutions of the system. Furthermore, for the first time, conservation laws of the system are derived using the multiplier method.