扩展椭圆型辅助方程法与Klein-Gordon方程新解析解  

The expansion auxiliary equation method of elliptic differential equation and solutions to nonlinear Klein-Gordon equation

作　　者：信春刚[1] 王军帽[1] 张睿[1] 韩家骅[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）》2010年第3期55-61,共7页Journal of Anhui University(Natural Science Edition)

基　　金：安徽省科技厅年度重点基金资助项目(01041188);安徽省省级重点课程"普通物理"和省级精品课程建设基金资助项目

摘　　要：利用辅助方程法,求解具有二阶非线性项Klein-Gordon方程,得到了大量精确解析解,其中包括孤波解和周期波解等,这些解对于研究二阶非线性项Klein-Gordon方程具有重要的指导意义.该方法具有普适性,可以用来寻找其他非线性发展方程的新精确解析解.In this paper,the exact solutions to a new form nonlinear Klein-Gordon equation were found with the use of the auxiliary equation method based on mapping method,and the solitary solutions and periodic wave solutions were obtained.This method could also be used to explore exact solutions for other nonlinear evolution equations.

关 键 词：辅助方程法 非线性KLEIN-GORDON方程 精确解析解 

分 类 号：O415[理学—理论物理]