Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (3): 280-285.doi: 10.3969/j.issn.1007-2861.2011.03.013
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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 sineGordon equation. Besides, based on the relationship between symmetries and sources of soliton equations, a sine-Gordon equation with new selfconsistent sources is obtained and its solutions are derived.
Key words: Hirota method, self-consistent sources, similarity reduction, sine-Gordon equation, symmetries
CLC Number:
O 175.24
SHEN Jing, ZHAO Song-Lin, ZHANG Da-Jun. Limit Symmetry of Sine-Gordon Equation and Applications[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(3): 280-285.
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URL: https://www.journal.shu.edu.cn/EN/10.3969/j.issn.1007-2861.2011.03.013
https://www.journal.shu.edu.cn/EN/Y2011/V17/I3/280
