| 改进的分数阶辅助方程方法及其在非线性空间-时间分数阶微分方程中的应用 |
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| 引用本文： | 赵梅妹.改进的分数阶辅助方程方法及其在非线性空间-时间分数阶微分方程中的应用[J].西南师范大学学报(自然科学版),2018,43(11):24-29. |
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| 作者姓名： | 赵梅妹 |
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| 作者单位： | 西安翻译学院 基础科学系, 西安 710105 |
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| 摘 要： | 利用改进的分数阶辅助方程方法求解具有修正的Riemann-Liouville分数阶导数的非线性发展方程组.将该方法应用到空间-时间分数阶Broer-Kaup方程组和空间-时间分数阶长水波近似方程组,并通过符号计算得到这两类方程组的精确行波解.结果表明,该方法能十分有效和便捷地得到时间-空间分数阶非线性微分方程组的解.
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| 关 键 词： | 改进的分数阶辅助方程方法 修正的Riemann-Liouville分数阶导数 分数阶微分方程 Broer-Kaup方程组 长水波近似方程组 |
| 收稿时间： | 2017/2/23 0:00:00 |
On Improved Fractional Sub-Equation Method and Its Applications to Nonlinear Space-Time Fractional Equations |
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| ZHAO Mei-mei.On Improved Fractional Sub-Equation Method and Its Applications to Nonlinear Space-Time Fractional Equations[J].Journal of Southwest China Normal University(Natural Science),2018,43(11):24-29. |
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| Authors: | ZHAO Mei-mei |
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| Institution: | Basic Science Department, Engineering and Technology School, Xi''an Fanyi University, Xi''an, 710105, China |
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| Abstract: | An improved fractional sub-equation method is applied to solve nonlinear evolution equations involving Jumarie''s modified Riemann-Liouville derivative. In this method, the space-time fractional Broer-Kaup and the approximate long water wave equations are considered and exact traveling wave solutions are explicitly obtained with the aid of symbolic computation. As a result, the obtained solutions show that the proposed method is very effective and convenient. |
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| Keywords: | improved fractional sub-equation method modified Riemann-Liouville derivative fractional differential equation Broer-Kaup equations approximate long water wave equations |
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