摘要
应用(G/G′)展开法成功获得了(1+1)维改进的BBM方程和(1+1)维Burgers方程以及(2+1)维Zakharov-Kuznetsov(ZK)方程的精确行波解,同时也获得了一些含有参数的新解.结果表明,该方法是求解非线性发展方程精确行波解的一种有效工具.而且也可以用来求解数学物理领域中其它非线性偏微分方程.
The （G^1-G）-expansion method is successfully implemented to find new travelling wave solutions for the （1 ＋1）-dimensional modified BBM equation, （1 ＋ 1 ）-dimensional Burgers equation and （2 ＋ 1 ）-dimensional Zakharov-Kuznetsov （ZK） equation. At the same time, some new exact solutions with parameters are obtained. It is shown that this method is a powerful mathematical tool for obtaining exact travelling wave solutions of nonlinear evolution equations. It is also a promising method to solve other nonlinear partial differential equations in mathematical physics.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第1期13-21,共9页
Journal of Inner Mongolia University：Natural Science Edition
基金
Supported by the National Natural Science Foundation of China(Grant No.10461005)
Doctoral Unit Foundation of Ministry of Education of China(Grant No.20070128001)
the High Education Science Research Program of Inner Mongolia(Grant No.NJZY07066)~~
