Exact travelling solutions for Benjamin-Bona-Mahony-Burgers equations by (G'/G)-expansion method

Abstract

In this paper, we establish exact solutions for some special nonlinear partial differential equations. The (G'/G)- -expansion method was used to construct travelling wave solutions for special form of the generalized BBM-Burgers equations. In this method we take the advantage of general solutions of second order linear ordinary differential equation (LODE) to solve effectively many nonlinear evolution equations. The (G'/G)- expansion method is direct, concise and elementary and can be used with a wider applicability for handling many nonlinear wave equations.