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

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

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.

Suggested Citation

  • Ning, Tong-ke & Zhang, Da-jun & Chen, Deng-yuan & Deng, Shu-fang, 2005. "Exact solutions and conservation laws for a nonisospectral sine-Gordon equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 611-620.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:611-620
    DOI: 10.1016/j.chaos.2004.11.027
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    References listed on IDEAS

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    1. Zhang, Da-Jun & Chen, Deng-yuan, 2003. "The N-soliton solutions of the sine-Gordon equation with self-consistent sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 467-481.
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    Cited by:

    1. Li, Qi & Chen, Deng-yuan & Zhang, Jian-bing & Chen, Shou-ting, 2012. "Solving the non-isospectral Ablowitz–Ladik hierarchy via the inverse scattering transform and reductions," Chaos, Solitons & Fractals, Elsevier, vol. 45(12), pages 1479-1485.

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