New travelling wave solutions for combined KdV-mKdV equation and （2＋1）-dimensional Broer- Kaup- Kupershmidt system  

作　　者：杨先林 唐驾时 

机构地区：[1]Department of Engineering Mechanics, Hunan University, Changsha 410082, China

出　　处：《Chinese Physics B》2007年第2期310-317,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No 10472029）.

摘　　要：Some new exact solutions of an auxiliary ordinary differential equation are obtained, which were neglected by Sirendaoreji et al in their auxiliary equation method. By using this method and these new solutions the combined Korteweg-de Vries （KdV） and modified KdV （mKdV） equation and （2＋1）-dimensional Broer-Kaup-Kupershmidt system are investigated and abundant exact travelling wave solutions are obtained that include new solitary wave solutions and triangular periodic wave solutions.Some new exact solutions of an auxiliary ordinary differential equation are obtained, which were neglected by Sirendaoreji et al in their auxiliary equation method. By using this method and these new solutions the combined Korteweg-de Vries （KdV） and modified KdV （mKdV） equation and （2＋1）-dimensional Broer-Kaup-Kupershmidt system are investigated and abundant exact travelling wave solutions are obtained that include new solitary wave solutions and triangular periodic wave solutions.

关 键 词：auxiliary equation Korteweg-de Vries （KdV）-modified KdV （mKdV） equation Broer- Kaup--Kupershmidt system 

分 类 号：O241.81[理学—计算数学]