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^*

^*此作品的通讯作者

航空科学与工程学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

75 引用（Scopus）

摘要

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.

源语言	英语
文章编号	108094
期刊	Applied Mathematics Letters
卷	132
DOI	https://doi.org/10.1016/j.aml.2022.108094
出版状态	已出版 - 10月 2022

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10.1016/j.aml.2022.108094

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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.",

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AU - Gao, Yi Tian

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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

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DO - 10.1016/j.aml.2022.108094

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JO - Applied Mathematics Letters

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

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