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

M.T. Darvishi and F. Khani

Chaos, Solitons & Fractals, 2009, vol. 39, issue 5, 2484-2490

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:5:p:2484-2490

DOI: 10.1016/j.chaos.2007.07.034

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