摘要
得到了一个辅助微分方程的一些新解,这些解在Sirendaoreji等的辅助方程方法中没有给出。利用该辅助方程直接求解了(2+1)维色散长波方程,结果获得了一些孤立波解和周期解,其中包括一些新解。该方法也适合求解部分耦合的非线性波动方程。
Some new solutions of an auxiliary ordinary differential equation are obtained,which were neglected by Sirendaoreji etc. in auxiliary equation method. The auxiliary equation is directly applied to solve the （2＋1）-dimensional dispersive long wave equations and the solitary wave solutions and triangular periodic wave solutions are obtained. This method can also be used to solve some coupled nonlinear wave equations.
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2008年第3期33-36,共4页
Journal of Guangxi Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(10672053)
湖南省教育厅科学研究资助项目(07D064)
关键词
辅助方程
行波解
(2+1)维色散长波方程
auxiliary equation
travelling wave solution
（2＋ 1 ）-dimensional dispersive long wave equations
