几类耦合非线性发展方程组的精确孤波解(英文)  

Solitary wave solutions to some systems of coupled nonlinear eq uations

作　　者：刘少斌[1] 袁乃昌[1] 莫锦军[1] 张光甫[1] 

机构地区：[1]国防科技大学电子科学与工程学院,长沙410073

出　　处：《应用基础与工程科学学报》2002年第3期318-324,共7页Journal of Basic Science and Engineering

摘　　要：给出了几类有深刻的物理和力学背景的三元和任意元耦合的非线性发展方程组 ,这几类非线性发展方程组是由高阶KdV方程和调制KdV方程经任意元耦合的方程组 .结果表明这几类任意元耦合非线性发展方程组存在精确孤波解 ,给出了这几类任意元耦合非线性发展方程组的精确孤波解 .Some classes of three variables and multi- variables coupled nonlinear equations, which have crucial significance, are pres ented in this paper. These systems of three variables and multi-variables coupl ed nonlinear wave equations are composed of the combined form of the higher modi fied KdV equation and the KdV equation. It is shown that these systems of couple d nonlinear equations possess solitary wave solutions. Several forms of solitarywave solutions from these coupled nonlinear wave equations have been obtained.Some comments are made.

关 键 词：非线性发展方程组 精确孤波解 高阶KDV方程 调制KdV方程 耦合方程 

分 类 号：O175.29[理学—数学] O241.82[理学—基础数学]