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| Approximate analytic solutions for a generalized Hirota—Satsuma coupled KdV equation and a coupled mKdV equation | |
| 作者姓名： | 赵国忠 蔚喜军 徐云 朱江 吴迪 |
| 作者单位： | Graduate School of China Academy of Engineering Physics, Beijing 100088, China;Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;Laborat'orio Nacional de Computacc ao Cientifica, MCT, Avenida Get'ulio Vargas 333, 25651-075 Petr'opolis, RJ, Brazil;Graduate School of China Academy of Engineering Physics, Beijing 100088, China |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 10771019 and 10826107). |
| 摘 要： | <正>This paper applies the variational iteration method to obtain approximate analytic solutions of a generalized Hirota-Satsuma coupled Korteweg-de Vries(KdV) equation and a coupled modified Korteweg-de Vries(mKdV) equation. This method provides a sequence of functions which converges to the exact solution of the problem and is based on the use of the Lagrange multiplier for the identification of optimal values of parameters in a functional.Some examples are given to demonstrate the reliability and convenience of the method and comparisons are made with the exact solutions. |
| 关 键 词： | approximate analytic solutions generalized Hirota-Satsuma coupled KdV equation coupled mKdV equation variational iteration method |
| 收稿时间： | 2009-12-14 |
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