一类广义五阶KdV方程新的精确解  

The new exact solutions of a type of generalized fifth-order KdV equation

作　　者：姚敏[1] 刘正荣[1] 

机构地区：[1]华南理工大学数学系,广州510640

出　　处：《西南民族大学学报（自然科学版）》2009年第5期981-988,共8页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871073)

摘　　要：本文运用辅助方程法,借助Mathematica软件,获得了一类广义五阶KdV方程的19个精确解,其中有17个是新得到的,这些解包括光滑孤立波解,爆破解,周期爆破解.In this paper, with the help of the software Mathematica, many new exact solutions of generalized fifth-order KdV equation are obtained by using auxiliary equation method. New and more exact traveling wave solutions include solitary wave solutions, blow-up solutions, periodic blow-up solutions.

关 键 词：广义五阶KDV方程 辅助方程法 孤立波解 爆破解 周期爆破解 

分 类 号：O175.29[理学—数学]