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The N-soliton solutions of the sine-Gordon equation with self-consistent sources

Author

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  • Zhang, Da-Jun
  • Chen, Deng-yuan

Abstract

The hierarchy of the sine-Gordon equation with self-consistent sources is derived by using the eigenfunctions of recursion operator. The bilinear form of the sine-Gordon equation with self-consistent sources is given and the N-soliton solutions are obtained through Hirota method and Wronskian technique, respectively. Some novel determinantal identities are presented to treat the nonlinear term in the time evolution and finish the Wronskian verifications.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:467-481
    DOI: 10.1016/S0378-4371(02)01742-9
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    Citations

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    Cited by:

    1. Gegenhasi, & Hu, Xing-Biao, 2007. "Integrability of a differential-difference KP equation with self-consistent sources," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(2), pages 145-158.
    2. 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.
    3. Zhang, Da-jun, 2005. "Singular solutions in Casoratian form for two differential-difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1333-1350.

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