Generalized mkdv equation, liouville equation,sine-gordon equation and sinh-gordon equation as well as a formal bäcklund transformation

Yufeng Zhang*, Hon Wah TAM, Jing Zhao

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

2 Citations (Scopus)

Abstract

A Lie algebra which consists of linear combinations of one basis of the Lie algebra A1 is presented for which an isospectral Lax pair is exhibited. By using the zero curvature equation, the generalized mKdV equation, Liouville equation and sine-Gordon equation, sinh-Gordon equation are generated via polynomial expansions. Finally, we investigate a kind of formal Bäcklund transformation for the generalized sine-Gordon equation. The explicit Bäcklund transformation of the standard sine-Gordon equation is presented. The other equations given in the paper are obtained similarly.

Original languageEnglish
Pages (from-to)2449-2460
Number of pages12
JournalInternational Journal of Modern Physics B
Volume25
Issue number18
DOIs
Publication statusPublished - 20 Jul 2011

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

User-Defined Keywords

  • Bäcklund transformation
  • Lie algebra
  • Liouville equation
  • mKdV equation
  • sine-Gordon equation
  • sinh-Gordon equation

Fingerprint

Dive into the research topics of 'Generalized mkdv equation, liouville equation,sine-gordon equation and sinh-gordon equation as well as a formal bäcklund transformation'. Together they form a unique fingerprint.

Cite this