Solitary wave solutions of the improved KdV equation by VIM |
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Authors: | Saleh M. Hassan Naif M. Alotaibi |
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Affiliation: | Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia |
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Abstract: | The variational iteration method (VIM) is applied to solve numerically the improved Korteweg-de Vries equation (IKdV). A correction function is constructed with a general Lagrange multiplier that can be identified optimally via the variational theory. This technique provides a sequence of functions with easily computable components that converge rapidly to the exact solution of the IKdV equation. Propagation of single, interaction of two, and three solitary waves, and also birth of solitons have been discussed. Three invariants of motion have been evaluated to determine the conservation properties of the problem. This procedure is promising for solving other nonlinear equations. |
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Keywords: | Improved KdV equation Solitary waves Variational iteration method |
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