二维S-K方程的周期孤波解  

Periodic soliton wave solutions for two-dimension S-K equation

作　　者：傅海明[1] 戴正德[1] 

机构地区：[1]云南大学数学与统计学院,云南昆明650091

出　　处：《徐州师范大学学报（自然科学版）》2009年第4期19-21,共3页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10361007;10661002);云南省自然科学基金资助项目(2006A0082M)

摘　　要：扩展了Hirota法,即将Hirota法中的测试函数用新的测试函数来替代,以构造二维Sawaka-Kotera方程的新的周期函数和双曲型函数的混合解.显然扩展的Hirota方法也适合求解其它类型的非线性发展方程.Hirota method proposed recently is extended to construct more exact solutions of nonlinear evolution equations.To be more precise,new test function is used instead of test function in Hirota method.By using the extended Hirota method,the two-dimension Sawaka-Kotera equation is solved getting an abundance of exact mixed-solutions with periodic and hyperbolic functions.Obviously,the extended Hirota method can be applied to solve other type of nonlinear evolution equations as well.

关 键 词：二维Sawaka-Kotera方程 HIROTA方法 精确解 

分 类 号：O175.29[理学—数学]