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Nonlinear Focusing Manakov Systems by Variational Iteration Method and Adomian Decomposition Method
Conference proceeding   Open access  Peer reviewed

Nonlinear Focusing Manakov Systems by Variational Iteration Method and Adomian Decomposition Method

N. H. Sweilam, M. M. Khader and R. F. Al-Bar
ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, Vol.96(1), p.012164
Journal of Physics Conference Series
01/02/2008
DOI: https://doi.org/10.1088/1742-6596/96/1/012164

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Applied Science & Technology
In this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are applied to solve numerically the focusing Manakov systems of coupled nonlinear Schrodinger equations. The accuracy of the methods are verified by ensuring that the conserved quantities remain almost constant. The results show that VIM is much easier, more convenient, more stable and efficient than ADM.
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https://doi.org/10.1088/1742-6596/96/1/012164View
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