The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations
In this paper, we apply the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method to seek exact traveling wave solutions (solitary wave solutions, periodic function solutions, rational function solution) for time-fractional Kuramoto-Sivashinsky...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020264/fulltext.html |
| _version_ | 1818863177756049408 |
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| author | Yunmei Zhao Yinghui He Huizhang Yang |
| author_facet | Yunmei Zhao Yinghui He Huizhang Yang |
| author_sort | Yunmei Zhao |
| collection | DOAJ |
| description | In this paper, we apply the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method to seek exact traveling wave solutions (solitary wave solutions, periodic function solutions, rational function solution) for time-fractional Kuramoto-Sivashinsky (K-S) equation, (3+1)-dimensional time-fractional KdV-Zakharov-Kuznetsov (KdV-ZK) equation and time-fractional Sharma-Tasso-Olver (FSTO) equation. The solutions are obtained in the form of hyperbolic, trigonometric and rational functions containing parameters. The results show that the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method is simple, effctivet, straightforward and is the generalization of the (<em>G</em>'/<em>G</em>)-expansion method. |
| first_indexed | 2024-12-19T10:11:37Z |
| format | Article |
| id | doaj.art-a2c56f32c0a54c979443e57102bd1c2a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-19T10:11:37Z |
| publishDate | 2020-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-a2c56f32c0a54c979443e57102bd1c2a2022-12-21T20:26:21ZengAIMS PressAIMS Mathematics2473-69882020-05-01554121413510.3934/math.2020264The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equationsYunmei Zhao0Yinghui He1Huizhang Yang2College of Mathematics, Honghe University, Mengzi, Yunnan, 661199, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan, 661199, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan, 661199, ChinaIn this paper, we apply the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method to seek exact traveling wave solutions (solitary wave solutions, periodic function solutions, rational function solution) for time-fractional Kuramoto-Sivashinsky (K-S) equation, (3+1)-dimensional time-fractional KdV-Zakharov-Kuznetsov (KdV-ZK) equation and time-fractional Sharma-Tasso-Olver (FSTO) equation. The solutions are obtained in the form of hyperbolic, trigonometric and rational functions containing parameters. The results show that the two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method is simple, effctivet, straightforward and is the generalization of the (<em>G</em>'/<em>G</em>)-expansion method.https://www.aimspress.com/article/10.3934/math.2020264/fulltext.htmlthe two variable (<i>φ</i>'/<i>φ</i>1/<i>φ</i>)-expansion methodnonlinear fractional differential equationtraveling wave solution |
| spellingShingle | Yunmei Zhao Yinghui He Huizhang Yang The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations AIMS Mathematics the two variable (<i>φ</i>'/<i>φ</i> 1/<i>φ</i>)-expansion method nonlinear fractional differential equation traveling wave solution |
| title | The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations |
| title_full | The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations |
| title_fullStr | The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations |
| title_full_unstemmed | The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations |
| title_short | The two variable (<em>φ</em>'/<em>φ</em>, 1/<em>φ</em>)-expansion method for solving the time-fractional partial differential equations |
| title_sort | two variable em φ em em φ em 1 em φ em expansion method for solving the time fractional partial differential equations |
| topic | the two variable (<i>φ</i>'/<i>φ</i> 1/<i>φ</i>)-expansion method nonlinear fractional differential equation traveling wave solution |
| url | https://www.aimspress.com/article/10.3934/math.2020264/fulltext.html |
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