EXPLICIT SOLUTIONS TO THE COUPLED KdV EQUATIONS WITH VARIABLE COEFFICIENTS

By means of sn-function expansion method and cn-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...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 26; no. 1; pp. 101 - 107
Main Author 徐桂琼 李志斌
Format Journal Article
LanguageEnglish
Published Department of Information Administration, Shanghai University,Shanghai 201800, P.R. China%Department of Computer Science, East China Normal University,Shanghai 200062, P.R. China 2005
Subjects
KdV耦合方程
可变系数
周期波相解
显式解
非线性偏微分方程
sn-function method
coupled KdV equations with variable coefficient
periodic wave-like solution
solitary wave-like solution
cn-function method
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Summary:By means of sn-function expansion method and cn-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.
Bibliography:O175.29
31-1650/O1
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02438371