| 具有局部时间分数阶导数的非线性Zoomeron方程的精确解 |
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| 引用本文： | 何春蕾,黄守军,夏春萍,徐洋洋. 具有局部时间分数阶导数的非线性Zoomeron方程的精确解[J]. 数学研究及应用, 2020, 40(3): 287-296 |
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| 作者姓名： | 何春蕾 黄守军 夏春萍 徐洋洋 |
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| 作者单位： | 安徽师范大学数学与统计学院, 安徽 芜湖 241002 |
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| 基金项目： | 国家自然科学基金(Grant No.11301006),安徽省自然科学基金(Grant No.1408085MA01). |
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| 摘 要： | In this paper, we are concerned with the nonlinear Zoomeron equation with local conformable time-fractional derivative. The concept of local conformable fractional derivative was newly proposed by R. Khalil et al. The bifurcation and phase portrait analysis of traveling wave solutions of the nonlinear Zoomeron equation are investigated. Moreover, by utilizing the exp(-?(ε))-expansion method and the first integral method, we obtained various exact analytical traveling wave solutions to the Zoomeron equation such as solitary wave, breaking wave and periodic wave.
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| 关 键 词： | 分数阶导数 Zoomeron方程 行波解 分支 |
| 收稿时间： | 2019-02-07 |
| 修稿时间： | 2019-09-04 |
New Exact Solutions to the Nonlinear Zoomeron Equation with Local Conformable Time-Fractional Derivative |
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| Chunlei HE,Shoujun HUANG,Chunping XIA,Yangyang XU. New Exact Solutions to the Nonlinear Zoomeron Equation with Local Conformable Time-Fractional Derivative[J]. Journal of Mathematical Research with Applications, 2020, 40(3): 287-296 |
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| Authors: | Chunlei HE Shoujun HUANG Chunping XIA Yangyang XU |
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| Affiliation: | School of Mathematics and Statistics, Anhui Normal University, Anhui 241002, P. R. China |
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| Abstract: | In this paper, we are concerned with the nonlinear Zoomeron equation with local conformable time-fractional derivative. The concept of local conformable fractional derivative was newly proposed by R. Khalil et al. The bifurcation and phase portrait analysis of traveling wave solutions of the nonlinear Zoomeron equation are investigated. Moreover, by utilizing the $text{exp}(-phi(varepsilon))$-expansion method and the first integral method, we obtained various exact analytical traveling wave solutions to the Zoomeron equation such as solitary wave, breaking wave and periodic wave. |
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| Keywords: | conformable fractional derivative Zoomeron equation traveling wave solution bifurcation |
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