Hirota-Satsuma方程的复合型解(英文)  

Complexiton Solutions to the Hirota-Satsuma Equation

作　　者：李姝敏[1] 斯仁道尔吉[2] 

机构地区：[1]包头师范学院数学科学学院,内蒙古包头014030 [2]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2010年第4期331-335,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：Project Supported by the National Natural Science Foundation of China(10761005);the Inner Mongolia Natural Science Foundation(20080404 MS0113);the High Education Science Research Programof Inner Mongolia(NJzc08134);the Baotou Teachers College Foundation(BSY200812019)

摘　　要：推广了用Wronskian行列式法构造Korteweg-de Vries方程复合型解的方法,并给出Hirota-Satsuma方程的复合型解.该方法也适用于构造Lax对的时间部分包含特征根λ的其他非线性发展方程的精确解.In this paper,the Wronskian determinants method for constructing the complexiton solutions to the Korteweg-de Vries equation is generalized and applied to obtain the complexiton solutions to the Hirota-Satsuma equation.The method can be used to seek the exact solutions to other nonlinear evolution equations of which the time part of the Lax pair contains the eigenvalue λ.Hence the method can be applied to more equations.

关 键 词：WRONSKIAN行列式 HIROTA-SATSUMA方程 复合型解 LAX对 

分 类 号：O175.29[理学—数学]