摘要
运用映射法,结合辅助方程,利用计算机代数系统Mathematica求出了非线性Klein-Gordon方程的一系列新的精确周期解,补充了前面研究的结果.这些精确解可在极限情况下(m→1)退化为孤波解.该方法简化了求解过程,并可以用来求解其他的非线性演化方程,如Schrdinger方程、KP方程等.
In this paper,we make use of extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics,we obtain some new periodic wave solutions for Klein-Gordon equation which can not be found by previous work.When the modulus m→1,these solutions degenerate into solitary wave solutions.This method also can be use to find new periodic wave solutions of other nonlinear evolution equations such as KP equation,etc.
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2007年第5期50-53,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
关键词
映射法
辅助方程
非线性演化方程
精确解
周期解
mapping method
auxiliary equation method
nonlinear evolution equations
exact solutions
periodic wave solutions
