Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method

Abstract

In this article, we investigate the compound KdV-Burgers equation involving parameters by applying the improved (G′/G)-expansion method for constructing some new exact traveling wave solutions including solitons and periodic solutions. The second order linear ordinary differential equation with constant coefficients is used, in this method. The obtained solutions are presented through the hyperbolic, the trigonometric and the rational functions. Further, it is significant to point out that some of our solutions are in good agreement for special cases with the existing results which validates our other solutions. Moreover, some of the obtained solutions are described in the figures. © 2012 Author(s). This article is distributed under a Creative Commons Attribution 3.0 Unported License.