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Applied Mathematics and Mechanics

, Volume 26, Issue 1, pp 101–107 | Cite as

Explicit solutions to the coupled KdV equations with variable coefficients

  • Xu Gui-qiong
  • Li Zhi-bin
Article

Abstract

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.

Key words

en-function method sn-function method periodic wave-like solution solitary wave-like solution coupled KdV equations with variable coefficient 

Chinese Library Classification

O175.29 

2000 Mathematics Subject Classification

74G05 35Q51 35Q53 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2005

Authors and Affiliations

  • Xu Gui-qiong
    • 1
  • Li Zhi-bin
    • 2
  1. 1.Department of Information AdministrationShanghai UniversityShanghaiPR China
  2. 2.Department of Computer ScienceEast China Normal UniversityShanghaiPR China

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