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Document Type

Journal Article

Department/Unit

Department of Computer Science

Title

Generation of nonlinear evolution equations by reductions of the self-dual Yang-Mills equations

Language

English

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. © 2013 Chinese Physical Society and IOP Publishing Ltd.

Keywords

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

Publication Date

2014

Source Publication Title

Communications in Theoretical Physics

Volume

61

Issue

2

Start Page

203

End Page

206

Publisher

IOP Publishing

ISSN (print)

02536102

ISSN (electronic)

15729494

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