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Approximate analytical solution of the coupled sine-Gordon equation using the variational iteration method

B Batiha, M S M Noorani and I Hashim

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In this paper, the variational iteration method (VIM) is applied to obtain the approximate analytical solution of the coupled sine-Gordon equation without any discretization. VIM is based on the incorporation of a general Lagrange multiplier in the construction of the correction functional for the equation. Comparisons with the Adomian decomposition method (ADM) reveal that VIM is very effective and convenient.


PACS

02.60.Lj Ordinary and partial differential equations; boundary value problems

02.30.Jr Partial differential equations

Subjects

Mathematical physics

Computational physics

Dates

Issue 5 (November 2007)

Received 20 April 2007, accepted for publication 31 August 2007

Published 21 September 2007



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