Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation
In the present study, we deal with the space–time fractional KdV–MKdV equation and the space–time fractional Konopelchenko–Dubrovsky equation in the sense of the conformable fractional derivative. By means of the extend (G′G)\left(\tfrac{G^{\prime} }{G}\right)-expansion method, many exact solutions...
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-12-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2020-0186 |
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| author | Tang Bo Tao Jiajia Chen Shijun Qu Junfeng Wang Qian Ding Ling |
| author_facet | Tang Bo Tao Jiajia Chen Shijun Qu Junfeng Wang Qian Ding Ling |
| author_sort | Tang Bo |
| collection | DOAJ |
| description | In the present study, we deal with the space–time fractional KdV–MKdV equation and the space–time fractional Konopelchenko–Dubrovsky equation in the sense of the conformable fractional derivative. By means of the extend (G′G)\left(\tfrac{G^{\prime} }{G}\right)-expansion method, many exact solutions are obtained, which include hyperbolic function solutions, trigonometric function solutions and rational solutions. The results show that the extend (G′G)\left(\tfrac{G^{\prime} }{G}\right)-expansion method is an efficient technique for solving nonlinear fractional partial equations. We also provide some graphical representations to demonstrate the physical features of the obtained solutions. |
| first_indexed | 2024-12-14T20:33:29Z |
| format | Article |
| id | doaj.art-be7689fb269a4cf9bec5a1f96e26a14c |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-12-14T20:33:29Z |
| publishDate | 2020-12-01 |
| publisher | De Gruyter |
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| series | Open Physics |
| spelling | doaj.art-be7689fb269a4cf9bec5a1f96e26a14c2022-12-21T22:48:27ZengDe GruyterOpen Physics2391-54712020-12-0118187188010.1515/phys-2020-0186phys-2020-0186Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equationTang Bo0Tao Jiajia1Chen Shijun2Qu Junfeng3Wang Qian4Ding Ling5School of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang, Hubei, 441053, People’s Republic of ChinaSchool of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang, Hubei, 441053, People’s Republic of ChinaSchool of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang, Hubei, 441053, People’s Republic of ChinaSchool of Computer, Hubei University of Arts and Science, Xiangyang, Hubei, 441053, People’s Republic of ChinaSchool of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang, Hubei, 441053, People’s Republic of ChinaSchool of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang, Hubei, 441053, People’s Republic of ChinaIn the present study, we deal with the space–time fractional KdV–MKdV equation and the space–time fractional Konopelchenko–Dubrovsky equation in the sense of the conformable fractional derivative. By means of the extend (G′G)\left(\tfrac{G^{\prime} }{G}\right)-expansion method, many exact solutions are obtained, which include hyperbolic function solutions, trigonometric function solutions and rational solutions. The results show that the extend (G′G)\left(\tfrac{G^{\prime} }{G}\right)-expansion method is an efficient technique for solving nonlinear fractional partial equations. We also provide some graphical representations to demonstrate the physical features of the obtained solutions.https://doi.org/10.1515/phys-2020-0186space–time fractional kdv–mkdv equationspace–time fractional konopelchenko–dubrovsky equationextend (g′/g)-expansion methodconformable fractional derivative |
| spellingShingle | Tang Bo Tao Jiajia Chen Shijun Qu Junfeng Wang Qian Ding Ling Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation Open Physics space–time fractional kdv–mkdv equation space–time fractional konopelchenko–dubrovsky equation extend (g′/g)-expansion method conformable fractional derivative |
| title | Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation |
| title_full | Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation |
| title_fullStr | Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation |
| title_full_unstemmed | Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation |
| title_short | Exact solutions of space–time fractional KdV–MKdV equation and Konopelchenko–Dubrovsky equation |
| title_sort | exact solutions of space time fractional kdv mkdv equation and konopelchenko dubrovsky equation |
| topic | space–time fractional kdv–mkdv equation space–time fractional konopelchenko–dubrovsky equation extend (g′/g)-expansion method conformable fractional derivative |
| url | https://doi.org/10.1515/phys-2020-0186 |
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