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Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations

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  • Darvishi, M.T.
  • Khani, F.

Abstract

In this paper, by means of variational iteration method numerical and explicit solutions are computed for some fifth-order Korteweg-de Vries equations, without any linearization or weak nonlinearity assumptions. These equations are the Kawahara equation, Lax’s fifth-order KdV equation and Sawada–Kotera equation. Comparison with Adomian decomposition method reveals that the variational iteration method is easier to be implemented. We conclude that the method is a promising method to various kinds of fifth-order Korteweg-de Vries equations.

Suggested Citation

  • Darvishi, M.T. & Khani, F., 2009. "Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2484-2490.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2484-2490
    DOI: 10.1016/j.chaos.2007.07.034
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    References listed on IDEAS

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    Cited by:

    1. Khani, F., 2009. "Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2128-2134.

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