摄动Wadati-Segur-Ablowitz方程的精确行波解  

New Exact Traveling Wave Solutions of the Disturbed Wadati-Segur-Ablowitz Equation

作　　者：王法官[1] 刘合春[1] 

机构地区：[1]成都信息工程学院数学学院,四川成都610225

出　　处：《成都信息工程学院学报》2010年第5期542-546,共5页Journal of Chengdu University of Information Technology

基　　金：四川省教育厅青年基金项目(07ZB015)

摘　　要：利用G′/G展开方法求解摄动的Wadati-Segur-Ablowitz(WSA)方程的解,并得到该方程推广形式的行波解,这几组行波解对Schrdinger方程的适定性的研究、可变为Lienard方程形式的一类非线性偏微分方程行波解的求解都有重要意义.为了更好的理解这几组行波解,给出了解的数值模拟图,通过数值模拟图可以直观的了解WSA方程中摄动项对方程波幅的影响.In this paper,new explicit traveling wave solutions of the disturbed Wadati-Segur-Abowitz（WSA） equation are obtained by the G′/G-expansion method.The solutions obtained have an importance influence on the study of Schrdinger equation and on solving a class of partial differential equations which could be transformed into the form of Lienard equation.To understand the new exact solutions well,the numerical simulation of the solutions are showed in this paper,which can help the reader know the impact of the disturbed term intuitively.

关 键 词：非线性偏微分方程 精确解 G′/G展开方法 摄动的WSA方程 行波解 数值模拟 

分 类 号：O173[理学—数学]