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

页码：138 / 152

页数：15

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