Invariant solutions and conservation laws of the generalized Kaup-Boussinesq equation

被引：4
|
作者：
Chen, Cheng [1 ]
Jiang, Yao-Lin [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2019年 / 29卷 / 01期
关键词：
BACKLUND TRANSFORMATION; SYMMETRY ANALYSIS; SYSTEM;
D O I：
10.1080/17455030.2017.1418098
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The generalized Kaup-Boussinesq equation is a model which is used to describe the water wave. In this paper, Lie group analysis method is used to perform detailed analysis on the generalized Kaup-Boussinesq equation. Some invariant solutions are obtained under the transformation groups. The conservation laws of the generalized Kaup-Boussinesq equation are constructed using two methods: multiplier method and Ibragimov theorem.
引用
收藏
页码：138 / 152
页数：15
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