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Exact solutions to a nonlinear dispersive model with variable coefficients

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  • Yin, Jun
  • Lai, Shaoyong
  • Qing, Yin

Abstract

A mathematical technique based on an auxiliary differential equation and the symbolic computation system Maple is employed to investigate a prototypical and nonlinear K(n,n) equation with variable coefficients. The exact solutions to the equation are constructed analytically under various circumstances. It is shown that the variable coefficients and the exponent appearing in the equation determine the quantitative change in the physical structures of the solutions.

Suggested Citation

  • Yin, Jun & Lai, Shaoyong & Qing, Yin, 2009. "Exact solutions to a nonlinear dispersive model with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1249-1254.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1249-1254
    DOI: 10.1016/j.chaos.2007.08.077
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    References listed on IDEAS

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    1. Wazwaz, A.M., 2001. "A study of nonlinear dispersive equations with solitary-wave solutions having compact support," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(3), pages 269-276.
    2. Ismail, M.S. & Taha, T.R., 1998. "A numerical study of compactons," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 47(6), pages 519-530.
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