齐次平衡法寻找广义Caudrey-Dodd-Gibbon-Kaeada方程的多孤子解  

Searching for multi-soliton solution to generalized Caudrey-Dodd-Gibbon-Kaeada equation with homogeneous balance method

作　　者：刘大勇[1] 夏铁成[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2011年第2期205-212,共8页Communication on Applied Mathematics and Computation

基　　金：上海市自然科学基金资助项目(09ZR1410800)

摘　　要：利用齐次平衡法寻找Hirota变换,再通过Hirota变换将方程转化为Hirota双线性形式,进一步解释两种方法之间的联系,并得出将一些方程转化为Hirota双线性形式的一般步骤.The homogeneous balance method is used to obtain the Hirota transformation which transforms the equation into the Hirota bilinear form,and the relation between these two methods is explained.The results show that there exists a general method which transforms some soliton equations into Hirota bilinear forms.

关 键 词：齐次平衡法 Hirota双线性法 多孤子解 

分 类 号：O175.29[理学—数学]