Conservation laws and new exact solutions for the generalized seventh order KdV equation

  • Ruo Xia Yao*
  • , Zhi Bin Li
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Abundant polynomial type conservation laws are constructed for a seventh order nonlinear evolution equation with six arbitrary parameters. From the parameters constraints that leading to the existence of conserved densities, a new unnamed seventh order KdV type equation that may be integrable is reported. By introducing nonlinear transformation, the new soliton solution as well as the solitary wave solution to the new unnamed seventh order KdV type equation are obtained.

Original languageEnglish
Pages (from-to)259-266
Number of pages8
JournalChaos, Solitons and Fractals
Volume20
Issue number2
DOIs
StatePublished - Apr 2004

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