Lienard Equation and Exact Solutions for Some Soliton-Producing Nonlinear Equations
In this paper, we first consider exact solutions for Lienard equation with nonlinear terms of any order. Then,explicit exact bell and kink profile solitary-wave solutions for many nonlinear evolution equations are obtained by means of results of the Lienard equation and proper deductions, which transform original partial differential equations into the Lienard one. These nonlinear equations include compound KdV, compound KdV-Burgers, generalized Boussinesq,generalized KP and Ginzburg-Landau equation. Some new solitary-wave solutions are found.
作 者： ZHANG Wei-Guo CHANG Qian-shun ZHANG Qi-Ren 作者单位： ZHANG Wei-Guo,ZHANG Qi-Ren(Department of Basic Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China)CHANG Qian-shun(Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, the Chinese Academy of Sciences,Beijing 100080, China)
刊 名： 理论物理通讯(英文版) ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 41(6) 分类号： 关键词： solitary wave Lienard equation compound KdV equation compound KdV-Burgers equation generalized Boussinesq equation generalized KP equation Ginzburg-Landau equation