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New Solitary Wave Solutions to the KdV-Burgers Equation
Authors:Email author" target="_blank">Xie?YuanxiEmail author  Tang?Jiashi
Institution:(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
Keywords:KdV-Burgers equation  superposition approach  solitary wave solution
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