Application of the [formula omitted]-expansion method for the complex KdV equation

Abstract

The G ′ G -expansion method can be used for constructing exact travelling wave solutions of real nonlinear evolution equations. In this paper, we improve the G ′ G -expansion method and explore new application of this method to the complex KdV equation. New types of exact travelling wave solutions of the complex KdV equation are found. Some exact solutions of the complex KdV equation obtained before are special cases of our results in this paper.