Exact solutions and conservation laws for a nonisospectral sine-Gordon equation

Tong-ke Ning, Da-jun Zhang, Deng-yuan Chen and Shu-fang Deng

Chaos, Solitons & Fractals, 2005, vol. 25, issue 3, 611-620

Abstract: A bilinear form of a nonisospectral sine-Gordon equation is given. Exact solutions are further obtained through the Hirota method and Wronskian technique, respectively. Some nonisospectral characteristics of the obtained solutions, such as the time-dependent shape, time-dependent speed and some non-propagating solitary waves, are discussed. The conservation laws are derived.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:3:p:611-620

DOI: 10.1016/j.chaos.2004.11.027

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