Copyright © 2013 Chaohong Pan and Zhengrong Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The objective of this paper is to extend some results of pioneers for the nonlinear equation introduced by Qiao. The equivalent relationship of the traveling wave solutions between the integrable equation and the generalized KdV equation is revealed. Moreover, when and , we obtain some explicit traveling wave solutions by the bifurcation method of dynamical systems.