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

B Batiha et al 2007 Phys. Scr. 76 445-448   doi: 10.1088/0031-8949/76/5/007  Help

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B Batiha, M S M Noorani and I Hashim
School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia
E-mail: ishak_h@ukm.my

Abstract. 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 numbers: 02.60.Lj, 02.30.Mv, 02.60.Cb

Print publication: Issue 5 (November 2007)
Received 20 April 2007, accepted for publication 31 August 2007
Published 21 September 2007

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