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

^*Corresponding author for this work

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

35 Scopus citations

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.

Original language	English
Pages (from-to)	961-970
Number of pages	10
Journal	Communications in Theoretical Physics
Volume	48
Issue number	6
DOIs	https://doi.org/10.1088/0253-6102/48/6/001
State	Published - 15 Dec 2007
Externally published	Yes

Keywords

Coupled variable coefficient mKdV equation
Periodic waves
Similarity solution
Two-layer fluid

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10.1088/0253-6102/48/6/001

Cite this

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title = "A coupled variable coefficient modified KdV equation arising from a two-layer fluid system",

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.",

keywords = "Coupled variable coefficient mKdV equation, Periodic waves, Similarity solution, Two-layer fluid",

author = "Yuan Gao and Tang, \{Xiao Yan\}",

year = "2007",

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AU - Gao, Yuan

AU - Tang, Xiao Yan

PY - 2007/12/15

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/38549092717

U2 - 10.1088/0253-6102/48/6/001

DO - 10.1088/0253-6102/48/6/001

M3 - 文章

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SN - 0253-6102

VL - 48

SP - 961

EP - 970

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 6

ER -

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

Abstract

Keywords

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