节点文献
(2+1)维Broer-Kaup-Kupershmidt方程的行波解及其分岔(英文)
Bifurcations and travelingwave solutions for the(2+1)-dimensional Broer-Kaup-Kupershmidt equation
【摘要】 利用平面动力系统的分岔理论研究了(2+1)维Broer-Kaup-Kupershmidt(BKK)方程.给出了方程在不同的参数区域所对应的所有可能存在的行波解,并得到了方程在一些特殊的参数条件下的显式精确孤立波解及周期波解的表达式.
【Abstract】 By using the bifurcation theory of planar dynamical systems,the traveling wave solutions of the(2+1)-dimensional Broer-Kaup-Kupershmidt(BKK)equation are investigated.All possible traveling wave solutions are given corresponding to different parameter regions and some exact explicit parametric representations of solitary wave solutions and periodic wave solutions are obtained under special parametric conditions.
【关键词】 (2+1)维Broer-Kaup-Kupershmidt(BKK)方程;
动力系统分岔理论;
行波解;
【Key words】 (2+1)-dimensional BKK equation; bifurcation theory of dynamical systems; trave-ling wave solutions;
【Key words】 (2+1)-dimensional BKK equation; bifurcation theory of dynamical systems; trave-ling wave solutions;
【基金】 National Science Foundation of China(11202161,11172233);Northwestern Polytechnical University Foundation for Fundamental Research(GBKY1034)
- 【文献出处】 纺织高校基础科学学报 ,Basic Sciences Journal of Textile Universities , 编辑部邮箱 ,2013年03期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】34