Explicit solutions to the coupled KdV equations with variable coefficients

Gui Qiong Xu; Zhi Bin Li

doi:10.1007/bf02438371

Explicit solutions to the coupled KdV equations with variable coefficients

Gui Qiong Xu^*
, Zhi Bin Li

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai University

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

5 Scopus citations

Abstract

By means of sn-function expansion method and en-function expansion method, several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained, which include three sets of periodic wave-like solutions. These solutions degenerate to solitary wave-like solutions at a certain limit. Some new solutions are presented.

Original language	English
Pages (from-to)	101-107
Number of pages	7
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	26
Issue number	1
DOIs	https://doi.org/10.1007/bf02438371
State	Published - Jan 2005

Keywords

Coupled KdV equations with variable coefficient
Periodic wave-like solution
Solitary wave-like solution
cn-function method
sn-function method

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10.1007/bf02438371

Cite this

@article{50936de511e24c78b9cec9aacdded68d,

title = "Explicit solutions to the coupled KdV equations with variable coefficients",

abstract = "By means of sn-function expansion method and en-function expansion method, several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained, which include three sets of periodic wave-like solutions. These solutions degenerate to solitary wave-like solutions at a certain limit. Some new solutions are presented.",

keywords = "Coupled KdV equations with variable coefficient, Periodic wave-like solution, Solitary wave-like solution, cn-function method, sn-function method",

author = "Xu, \{Gui Qiong\} and Li, \{Zhi Bin\}",

year = "2005",

month = jan,

doi = "10.1007/bf02438371",

language = "英语",

volume = "26",

pages = "101--107",

journal = "Applied Mathematics and Mechanics (English Edition)",

issn = "0253-4827",

publisher = "Springer China",

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T1 - Explicit solutions to the coupled KdV equations with variable coefficients

AU - Xu, Gui Qiong

AU - Li, Zhi Bin

PY - 2005/1

Y1 - 2005/1

N2 - By means of sn-function expansion method and en-function expansion method, several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained, which include three sets of periodic wave-like solutions. These solutions degenerate to solitary wave-like solutions at a certain limit. Some new solutions are presented.

AB - By means of sn-function expansion method and en-function expansion method, several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained, which include three sets of periodic wave-like solutions. These solutions degenerate to solitary wave-like solutions at a certain limit. Some new solutions are presented.

KW - Coupled KdV equations with variable coefficient

KW - Periodic wave-like solution

KW - Solitary wave-like solution

KW - cn-function method

KW - sn-function method

UR - https://www.scopus.com/pages/publications/15744365443

U2 - 10.1007/bf02438371

DO - 10.1007/bf02438371

M3 - 文章

AN - SCOPUS:15744365443

SN - 0253-4827

VL - 26

SP - 101

EP - 107

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 1

ER -

Explicit solutions to the coupled KdV equations with variable coefficients

Abstract

Keywords

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