Numerical simulation of the modified regularized long wave equation by He's variational iteration method |
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| Authors: | Manel Labidi Khaled Omrani |
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| Institution: | 1. Ecole Polytechnique de Tunisie, El Khawarezmi, La Marsa, Tunis, Tunisia;2. Institut Supérieur des Sciences Appliquées et de Technologie de Sousse, Sousse Ibn Khaldoun 4003, Tunisia |
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| Abstract: | The modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by variational iteration method. This method is useful for obtaining numerical solutions with high degree of accuracy. The variational iteration solution for the MRLW equation converges to its exact solution. Moreover, the conservation laws properties of the MRLW equation are also studied. Finally, interaction of two and three solitary waves is shown. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011 |
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| Keywords: | variational iteration method MRLW equation conservation laws solitary waves |
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