Pseudopotentials, Lax pairs and Bäcklund transformations for generalized fifth-order KdV equation

  • Yun Qing Yang*
  • , Yong Chen
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

Based on the method developed by Nucci, the pseudopotentials, Lax pairs and the singularity manifold equations of the generalized fifth-order KdV equation are derived. By choosing different coefficient, the corresponding results and the Bäcklund transformations can be obtained on three conditioners which include Caudrey-Dodd-Gibbon-Sawada-Kotera equation, the Lax equation and the Kaup-kupershmidt equation.

Original languageEnglish
Pages (from-to)25-28
Number of pages4
JournalCommunications in Theoretical Physics
Volume55
Issue number1
DOIs
StatePublished - Jan 2011

Keywords

  • Bäcklund transformation
  • Generalized fifth-order KdV equation
  • Lax pair
  • Pseudopotential

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