非线性Klein-Gordon方程的精确解  

Exact solutions to the nonlinear Klein-Gordon equation

作　　者：韩家骅[1] 王军帽[1] 张文亮[1] 张睿[1] 信春刚[1] 

机构地区：[1]安徽大学物理与材料科学学院,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2009年第5期60-63,共4页Journal of Anhui University(Natural Science Edition)

基　　金：安徽省自然科学基金资助项目(01041188);安徽省省级精品课程基金资助项目

摘　　要：对文献[1]中提出的方法进行了改进,简化了其结果,并利用该方法借助计算机代数系统求得了非线性Klein-Gordon方程一系列的精确解,包括孤波解和周期解.同时,这种方法也适用于其他的非线性方程.In the paper, we have improved the method of ref. and applied it to the nonlinear Klein- Gordon equation, with the aid of the symbolic computation. As a result, more traveling wave solutions were obtained including periodic wave solutions and solitary wave solutions. It was shown that this improved method can also be used for solving other nonlinear partial differential equations.

关 键 词：改进的方法 Klein—Gordon方程 孤波解 周期解 

分 类 号：O411.1[理学—理论物理]