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

Cheng Chen; Yao Lin Jiang

doi:10.1080/17455030.2017.1418098

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

Cheng Chen
, Yao Lin Jiang

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	138-152
Number of pages	15
Journal	Waves in Random and Complex Media
Volume	29
Issue number	1
DOIs	https://doi.org/10.1080/17455030.2017.1418098
State	Published - 2 Jan 2019

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10.1080/17455030.2017.1418098

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abstract = "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.",

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AB - 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.

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

Abstract

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