(3+1)维破碎孤子方程的变量分离解和局域激发模式  

Variable separation solutions for(3+1)-dimensinal breaking soliton equation and its localized coherent structures

作　　者：黄兴中[1] 徐桂琼[2] 

机构地区：[1]上海大学理学院,上海200444 [2]上海大学管理学院,上海200444

出　　处：《应用数学与计算数学学报》2014年第1期40-46,共7页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11201290)

摘　　要：多线性分离变量法已成功地应用于诸多(2+1)维非线性可积系统.将该方法拓展运用于(3+1)维破碎孤子方程中,获得了含任意函数的变量分离解.通过适当地设定任意函数的形式,得到了(3+1)维破碎孤子方程丰富的局域激发模式.The multilinear variable separation approach is a widely applied and quite successful way to investigate localized coherent structures of （2＋1）- dimensional nonlinear integrable systems. In this paper, the multilinear variable separation method to a （3＋ 1）-dimensional breaking soliton equation is applied. As a result, two arbitrary functions are included in this solutions which lead to some interesting localized coherent structures of a （3＋1）-dimensional breaking soliton equation.

关 键 词：多线性分离变量法 (3+1)维破碎孤子方程 局域激发模式 

分 类 号：O175.29[理学—数学]