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   作者單位： 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： 理論物理通訊(英文版)  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2004 41(6)  分類號：   關(guān)鍵詞： solitary wave   Lienard equation   compound KdV equation   compound KdV-Burgers equation   generalized Boussinesq equation   generalized KP equation   Ginzburg-Landau equation  

【Lienard Equation and Exact Solutions】相關(guān)文章：

Strong (Weak) Exact Controllability and Strong (Weak) Exact Observability for Quasilinear Hyperbolic Systems04-26

exact (a.) 完全一樣的05-04

Determination of hydroxyl radicals with salicylic acid in aqueous nitrate and nitrite solutions04-26

Exact偏序集的乘積和映射性質(zhì)04-26

Long Time Behavior of the Cahn-Hilliard Equation with Irregular Potentials and Dynamic Boundary Conditions04-26

Global Existence and Scattering in L2 for the Mass-critical Hartree Equation With H0,1 Initial Data04-26