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

B. Batiha; M. S.M. Noorani; I. Hashim

doi:10.1088/0031-8949/76/5/007

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

B. Batiha
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	445-448
Number of pages	4
Journal	Physica Scripta
Volume	76
Issue number	5
DOIs	https://doi.org/10.1088/0031-8949/76/5/007
State	Published - 1 Nov 2007
Externally published	Yes

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title = "Approximate analytical solution of the coupled sine-Gordon equation using the variational iteration method",

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.",

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AU - Batiha, B.

AU - Noorani, M. S.M.

AU - Hashim, I.

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Y1 - 2007/11/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/36248935557

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DO - 10.1088/0031-8949/76/5/007

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VL - 76

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JO - Physica Scripta

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ER -

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

Abstract

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