Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 54, Issue 7-8, Pages 993-999Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2006.12.068
Keywords
coupled nonlinear Schrodinger equations; variational iteration method
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In this paper, we apply the variational iteration method proposed by Ji-Huan He to simulate numerically a system of two coupled nonlinear one-dimensional Schrodinger equations subjected initially to a prescribed periodic wave solution. Test examples are given to demonstrate the accuracy and capability of the method with different wave-wave interaction coefficients. The accuracy of the method is verified by ensuring that the energy conservation remains almost constant. The numerical results obtained with a minimum amount of computation show that the variational iteration method is much easier, more convenient and efficient for solving nonlinear partial differential equations. (c) 2007 Elsevier Ltd. All rights reserved.
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