摘要
本文运用映射法,结合辅助方程,利用计算机代数系统Mathematica求出了典型的非线性mKdV方程和Klein-Gordon方程的一系列新的精确周期解。该方法可以用来求解更多非线性方程。
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 mKdV and Klein -Gordon equation which can not be found by previous work. This method can also be used to find new periodic wave solutions of other nonlinear evolution equations.
出处
《皖西学院学报》
2007年第2期49-55,共7页
Journal of West Anhui University
基金
安徽省自然科学基金(01041188)
安徽省精品课程基金资助课题
安徽省信息材料与器件重点实验室(安徽大学)开放基金资助
关键词
映射法
辅助方程
非线性演化方程
精确解
周期解
the mapping method
auxiliary equation method
nonlinear evolution equations
exact solutions
periodic wave solutions
