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A direct method for deriving a multisoliton solution to the fifth order KdV equation

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  • Zhang, Yi
  • Chen, Deng-yuan
  • Li, Zhi-bin

Abstract

A new representation of N-soliton solution of the fifth order KdV equation is obtained by using Bäcklund transformation method. We show a direct method for constructing the novel N-soliton solution by performing an appropriate limiting procedure on the known soliton solutions.

Suggested Citation

  • Zhang, Yi & Chen, Deng-yuan & Li, Zhi-bin, 2006. "A direct method for deriving a multisoliton solution to the fifth order KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1188-1193.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:5:p:1188-1193
    DOI: 10.1016/j.chaos.2005.08.085
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    Cited by:

    1. Ilison, Lauri & Salupere, Andrus, 2009. "Propagation of sech2-type solitary waves in hierarchical KdV-type systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3314-3327.
    2. Korkmaz, Alper & Dağ, İdris, 2009. "Crank-Nicolson – Differential quadrature algorithms for the Kawahara equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 65-73.
    3. Chen, Peng & Wang, Guang-sheng & Zhang, Da-jun, 2009. "The limit solutions of the difference–difference KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 376-381.
    4. 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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