(2+1)维Burgers系统的周期孤立波解  

Periodic wave solutions for Burgers equations

作　　者：傅海明[1] 戴正德[2] 

机构地区：[1]广州华夏职业学院基础部,广东广州510935 [2]云南大学数学与统计学院,云南昆明650091

出　　处：《周口师范学院学报》2012年第2期1-4,8,共5页Journal of Zhoukou Normal University

基　　金：国家自然科学基金资助项目(No.10661002)

摘　　要：将Hirota法中的测试函数用新的测试函数来替代,即利用扩展的Hirota法构造Burgers方程的新的周期孤波解、周期双孤波解、双周期双孤波解.显然,扩展的Hirota方法也可以解其他一些非线性发展方程.Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equa- tions. To be more precise, new text function is used instead of text function in Hirota method. By using the extended Hirota method, Burgers equation is solved an abundance of exact periodic - soliton wave solutions, periodic double soliton wave so- lutions, double periodic double soliton wave solutions. Obviously, the extended Hirota method can be applied to solve some other nonlinear evolution equations as well.

关 键 词：BURGERS方程 HIROTA方法 周期波解 孤波解 

分 类 号：O157[理学—数学]