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

数学与统计学院

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

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.

源语言	英语
页（从-至）	138-152
页数	15
期刊	Waves in Random and Complex Media
卷	29
期	1
DOI	https://doi.org/10.1080/17455030.2017.1418098
出版状态	已出版 - 2 1月 2019

访问文件

10.1080/17455030.2017.1418098

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{2067563e2e314b81b9516b20ece5c562,

title = "Invariant solutions and conservation laws of the generalized Kaup–Boussinesq equation",

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.",

author = "Cheng Chen and Jiang, \{Yao Lin\}",

note = "Publisher Copyright: {\textcopyright} 2017, {\textcopyright} 2017 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2019",

month = jan,

day = "2",

doi = "10.1080/17455030.2017.1418098",

language = "英语",

volume = "29",

pages = "138--152",

journal = "Waves in Random and Complex Media",

issn = "1745-5030",

publisher = "Taylor and Francis Ltd.",

number = "1",

}

TY - JOUR

T1 - Invariant solutions and conservation laws of the generalized Kaup–Boussinesq equation

AU - Chen, Cheng

AU - Jiang, Yao Lin

PY - 2019/1/2

Y1 - 2019/1/2

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85039060110

U2 - 10.1080/17455030.2017.1418098

DO - 10.1080/17455030.2017.1418098

M3 - 文章

AN - SCOPUS:85039060110

SN - 1745-5030

VL - 29

SP - 138

EP - 152

JO - Waves in Random and Complex Media

JF - Waves in Random and Complex Media

IS - 1

ER -

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

摘要

访问文件

其它文件与链接

学术指纹

引用此