| 分数阶变分迭代法处理分数阶类Boussinesq方程 |
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| 引用本文： | 顾佳磊,夏铁成. 分数阶变分迭代法处理分数阶类Boussinesq方程[J]. 应用数学与计算数学学报, 2011, 25(1): 46-52 |
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| 作者姓名： | 顾佳磊 夏铁成 |
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| 作者单位： | 上海大学理学院,上海,200444 |
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| 基金项目： | Project supported by the Natural Science Foundation of China(61072147); the Natural Science Foundation of Shanghai(09ZR1410800),the Shanghai Leading Academic Discipline Project(J50101) |
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| 摘 要： | 分数阶变分迭代法（FVIM）是一种处理分数阶微分方程的有效工具.用分数阶变分迭代法求解了时间分数阶类Boussinesq方程,并且作为一种特殊情况,得到了类Boussinesq方程B（2.2）的单孤子解.
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| 关 键 词： | 修正的Riemann-Liouville导数 分数阶变分迭代法 类Boussinesq方程 |
Handling the fractional Boussinesq-like equation by fractional variational iteration method |
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| GU Jia-lei,XIA Tie-cheng. Handling the fractional Boussinesq-like equation by fractional variational iteration method[J]. Communication on Applied Mathematics and Computation, 2011, 25(1): 46-52 |
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| Authors: | GU Jia-lei XIA Tie-cheng |
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| Affiliation: | GU Jia-lei,XIA Tie-cheng (College of Sciences,Shanghai University,Shanghai 200444,China) |
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| Abstract: | The fractional variational iteration method（FVIM） is an efficient tool to solve fractional differential equations.In this paper,the time-fractional Boussinesq-like equation is solved by the FVIM and a single-soliton solution of Boussinesq-like B（2,2） equation is obtained as a special case. |
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| Keywords: | modified Riemann-Liouville derivative fractional variational iteration method Boussinesq-like equation |
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