Lie group analysis for a higher-order Boussinesq-Burgers system

Fei Yan Liu; Yi Tian Gao

doi:10.1016/j.aml.2022.108094

Lie group analysis for a higher-order Boussinesq-Burgers system

Fei Yan Liu
, Yi Tian Gao^*

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University

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

75 Scopus citations

Abstract

Boussinesq-Burgers (BB)-type equations have been proposed to model the shallow water waves. Under investigation in this Letter is a higher-order BB system. We obtain the Lie point symmetry generators, Lie symmetry groups and symmetry reductions for that system via the Lie group method. Hyperbolic-function, trigonometric-function and rational solutions for that system are derived.

Original language	English
Article number	108094
Journal	Applied Mathematics Letters
Volume	132
DOIs	https://doi.org/10.1016/j.aml.2022.108094
State	Published - Oct 2022

Keywords

Lie group analysis
Symbolic computation
The higher-order Boussinesq-Burgers system

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10.1016/j.aml.2022.108094

Cite this

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title = "Lie group analysis for a higher-order Boussinesq-Burgers system",

abstract = "Boussinesq-Burgers (BB)-type equations have been proposed to model the shallow water waves. Under investigation in this Letter is a higher-order BB system. We obtain the Lie point symmetry generators, Lie symmetry groups and symmetry reductions for that system via the Lie group method. Hyperbolic-function, trigonometric-function and rational solutions for that system are derived.",

keywords = "Lie group analysis, Symbolic computation, The higher-order Boussinesq-Burgers system",

author = "Liu, \{Fei Yan\} and Gao, \{Yi Tian\}",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = oct,

doi = "10.1016/j.aml.2022.108094",

language = "英语",

volume = "132",

journal = "Applied Mathematics Letters",

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AU - Liu, Fei Yan

AU - Gao, Yi Tian

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N2 - Boussinesq-Burgers (BB)-type equations have been proposed to model the shallow water waves. Under investigation in this Letter is a higher-order BB system. We obtain the Lie point symmetry generators, Lie symmetry groups and symmetry reductions for that system via the Lie group method. Hyperbolic-function, trigonometric-function and rational solutions for that system are derived.

AB - Boussinesq-Burgers (BB)-type equations have been proposed to model the shallow water waves. Under investigation in this Letter is a higher-order BB system. We obtain the Lie point symmetry generators, Lie symmetry groups and symmetry reductions for that system via the Lie group method. Hyperbolic-function, trigonometric-function and rational solutions for that system are derived.

KW - Lie group analysis

KW - Symbolic computation

KW - The higher-order Boussinesq-Burgers system

UR - https://www.scopus.com/pages/publications/85128937204

U2 - 10.1016/j.aml.2022.108094

DO - 10.1016/j.aml.2022.108094

M3 - 文章

AN - SCOPUS:85128937204

SN - 0893-9659

VL - 132

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108094

ER -

Lie group analysis for a higher-order Boussinesq-Burgers system

Abstract

Keywords

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