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Singular solutions in Casoratian form for two differential-difference equations

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  • Zhang, Da-jun

Abstract

Negatons, positons, rational solutions and mixed solutions in Casoratian form for the Toda lattice and the differential-difference KdV equation are obtained. Some characteristics of the obtained singular solutions are investigated through density graphics.

Suggested Citation

  • Zhang, Da-jun, 2005. "Singular solutions in Casoratian form for two differential-difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1333-1350.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1333-1350
    DOI: 10.1016/j.chaos.2004.06.034
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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. Wang, Zhen & Zhang, Hongqing, 2009. "Construct solitary solutions of discrete hybrid equation by Adomian Decomposition Method," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 676-683.
    2. Zhang, Yi & Zhao, Hai-qiong & Li, Ji-bin, 2009. "The long wave limiting of the discrete nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2965-2972.

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