(1) Department of Engineering Mechanics, Hunan University, Changsha, 410082, China;(2) Department of Engineering Mechanics, Hunan University, Changsha, 410082, China
Abstract:
Based on the analysis on the features of the Burgers equation and KdV equation as well as KdV-Burgers equation, a superposition method is proposed to construct the solitary wave solutions of the KdV-Burgers equation from those of the Burgers equation and KdV equation, and then by using it we obtain many solitary wave solutions to the KdV-Burgers equation, some of which are new ones.PACS: 02.30.Jr; 03.65.Ge