http://dx.doi.org/10.1142/S0217979211101387">
 

Document Type

Journal Article

Department/Unit

Department of Computer Science

Title

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

Language

English

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. © 2011 World Scientific Publishing Company.

Keywords

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

Publication Date

2011

Source Publication Title

International Journal of Modern Physics B

Volume

25

Issue

18

Start Page

2449

End Page

2460

Publisher

World Scientific Publishing

ISSN (print)

02179792

ISSN (electronic)

17936578

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