(G′/G)方法及组合KdV-Burgers方程的行波解  

(G'/G)-Method and Travelling Wave Solutions to Compound KdV-Burgers Equation

作　　者：李二强[1] 王明亮[1,2] 

机构地区：[1]河南科技大学理学院,河南洛阳471003 [2]兰州大学数学系,甘肃兰州730000

出　　处：《河南科技大学学报（自然科学版）》2008年第5期80-83,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南省教育厅自然科学基金项目(2007110010)

摘　　要：用最近提出的(G′/G)方法求得组合KdV-Burgers方程的含有双参数的用双曲函数,三角函数和有理函数表示的行波解。其中双曲函数表示的行波解中参数取特殊值时可得文献已有的孤波解,本文表明(G′/G)方法是求解非线性演化方程行波解的一种直接、简洁、基本和行之有效的方法,可应用于许多其它非线性演化方程的求解。By using the(G'/G)-method proposed more recently,many exact travelling wave solutions with two arbitrary parameters,including the hyperbolic solutions,the trigonometric solutions and the rational solutions of the compound KdV-Burgers equation are obtained simultaneously.When the parameters are taken as special values the known solitary waves are derived from the hyperbolic solutions.It is shown that this method is a direct,concise,elementary and effective that can be applied to many other nonlinear evolution equations.

关 键 词：(G′/G) 方法 齐次平衡 组合KdV—Burgers方程 精确解 

分 类 号：O175.2[理学—数学]