GENERALIZED mKdV EQUATION, LIOUVILLE EQUATION, SINE-GORDON EQUATION AND SINH-GORDON EQUATION AS WELL AS A FORMAL BÄCKLUND TRANSFORMATION-Reference-Cited by-同舟云学术

GENERALIZED mKdV EQUATION, LIOUVILLE EQUATION, SINE-GORDON EQUATION AND SINH-GORDON EQUATION AS WELL AS A FORMAL BÄCKLUND TRANSFORMATION

Published:2011-07-20 Issue:18 Volume:25 Page:2449-2460
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

ZHANG YUFENG¹,TAM HONWAH²,ZHAO JING³

Affiliation:

1. College of Science, China University of Mining and Technology, Xuzhou 221116, P. R. China

2. Department of Computer Science, Hong Kong Baptist University, Hong Kong, P. R. China

3. Information School, Dalian University, Dalian 116622, P. R. China

Abstract

A Lie algebra which consists of linear combinations of one basis of the Lie algebra A1is 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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979211101387

Reference32 articles.

1. Solitons in Mathematics and Physics

2. The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems

3. The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems

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