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Journal of Shanghai University >

2011 , Vol. 17 >Issue 3: 280 - 285

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.03.013

Mathematics.Physics and Chemistry

Limit Symmetry of Sine-Gordon Equation and Applications

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2010-12-08

  Online published: 2011-06-24

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Abstract

Limit symmetry of the sine-Gordon equation and its applications are considered. The similarity reduction leads to limit solutions of the sineGordon equation. Besides, based on the relationship between symmetries and sources of soliton equations, a sine-Gordon equation with new selfconsistent sources is obtained and its solutions are derived.

Key words： Hirota method; self-consistent sources; similarity reduction; sine-Gordon equation; symmetries

Cite this article

SHEN Jing, ZHAO Song-Lin, ZHANG Da-Jun . Limit Symmetry of Sine-Gordon Equation and Applications[J]. Journal of Shanghai University, 2011 , 17(3) : 280 -285 . DOI: 10.3969/j.issn.1007-2861.2011.03.013

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