广义Davey-Stewartson方程的孤波解(英文)  

Soliton Solutions of the Generalized Davey-Stewartson Equation

作　　者：陈定元[1] 胡宗海[2] 吴然超[2] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246011 [2]安徽大学数学与计算科学学院,安徽合肥230039

出　　处：《应用数学》2009年第4期683-689,共7页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of China (10471059);the Natural Science Foundation of Anhui Province(070416225);the Natural Science Foundation of Anhui Education Bureau(KJ2007A003);the Faculty Fund of Anhui University

摘　　要：在本文中,利用辅助的常微分方程来代替更一般的方程,扩张映射方法被呈现.通过这种方法,使用符号计算关于Davey-Stewartson方程的许多新的孤波解被构造.In the current paper, the extended mapping method with the auxiliary ordinary equation replaced by more general ones is presented. By this method, many new exact soliton solutions for the Davey-Stewartson equation are constructed using symbolic computation.

关 键 词：Davey—Stewartosn方程 辅助常微分方程 孤波解 

分 类 号：O175.2[理学—数学]