A coupled variable coefficient modified KdV equation arising from a two-layer fluid system

Yuan Gao; Xiao Yan Tang

doi:10.1088/0253-6102/48/6/001

A coupled variable coefficient modified KdV equation arising from a two-layer fluid system

Yuan Gao^*
, Xiao Yan Tang

^*此作品的通讯作者

Shanghai Jiao Tong University
Ruhr University Bochum

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

A quite general coupled variable coefficient modified KdV (VCmKdV) equation in a two-layer fluid system is derived by means of the reductive perturbation method. Making use of the CK's direct method, some similarity reductions of the coupled VCmKdV equation are obtained and their corresponding group explanations are discussed. Some exact solutions of the coupled equations are also presented.

源语言	英语
页（从-至）	961-970
页数	10
期刊	Communications in Theoretical Physics
卷	48
期	6
DOI	https://doi.org/10.1088/0253-6102/48/6/001
出版状态	已出版 - 15 12月 2007
已对外发布	是

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abstract = "A quite general coupled variable coefficient modified KdV (VCmKdV) equation in a two-layer fluid system is derived by means of the reductive perturbation method. Making use of the CK's direct method, some similarity reductions of the coupled VCmKdV equation are obtained and their corresponding group explanations are discussed. Some exact solutions of the coupled equations are also presented.",

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AB - A quite general coupled variable coefficient modified KdV (VCmKdV) equation in a two-layer fluid system is derived by means of the reductive perturbation method. Making use of the CK's direct method, some similarity reductions of the coupled VCmKdV equation are obtained and their corresponding group explanations are discussed. Some exact solutions of the coupled equations are also presented.

KW - Coupled variable coefficient mKdV equation

KW - Periodic waves

KW - Similarity solution

KW - Two-layer fluid

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A coupled variable coefficient modified KdV equation arising from a two-layer fluid system

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