Explicit solutions to the coupled KdV equations with variable coefficients

  • Gui Qiong Xu*
  • , Zhi Bin Li
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)101-107
Number of pages7
JournalApplied Mathematics and Mechanics (English Edition)
Volume26
Issue number1
DOIs
StatePublished - 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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