Generation of nonlinear evolution equations by reductions of the Self-Dual Yang - Mills equations

Yu Feng Zhang, Hon Wah TAM

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

With the help of some reductions of the self-dual Yang Mills (briefly written as sdYM) equations, we introduce a Lax pair whose compatibility condition leads to a set of (2 + 1)-dimensional equations. Its first reduction gives rise to a generalized variable-coefficient Burgers equation with a forced term. Furthermore, the Burgers equation again reduces to a forced Burgers equation with constant coefficients, the standard Burgers equation, the heat equation, the Fisher equation, and the Huxley equation, respectively. The second reduction generates a few new (2 + 1)-dimensional nonlinear integrable systems, in particular, obtains a kind of (2 + 1)-dimensional integrable couplings of a new (2 + 1)-dimensional integrable nonlinear equation.

Original languageEnglish
Pages (from-to)203-206
Number of pages4
JournalCommunications in Theoretical Physics
Volume61
Issue number2
DOIs
Publication statusPublished - Feb 2014

Scopus Subject Areas

  • Physics and Astronomy (miscellaneous)

User-Defined Keywords

  • integrable coupling
  • Lax pair
  • self-dual Yang-Mills equation

Fingerprint

Dive into the research topics of 'Generation of nonlinear evolution equations by reductions of the Self-Dual Yang - Mills equations'. Together they form a unique fingerprint.

Cite this