The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson system
This article aims to carry out novel research on obtaining exact solutions to a generalized time-fractional KdV-Drinfel’d-Sokolov-Wilson system. The complete discrimination system for polynomial method is applied to handle such a problem. Description of the method is given and all the possible exact...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-06-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719307971 |
| _version_ | 1819072324225204224 |
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| author | Bing Guan Shibin Li Shuangqing Chen Ligang Zhang Changhao Wang |
| author_facet | Bing Guan Shibin Li Shuangqing Chen Ligang Zhang Changhao Wang |
| author_sort | Bing Guan |
| collection | DOAJ |
| description | This article aims to carry out novel research on obtaining exact solutions to a generalized time-fractional KdV-Drinfel’d-Sokolov-Wilson system. The complete discrimination system for polynomial method is applied to handle such a problem. Description of the method is given and all the possible exact traveling wave solutions including hyper-elliptic functions solutions are obtained, which are very difficult to get by other methods. In particular, to show the existence of the solutions, concrete examples are constructed for the concrete parameters of the corresponding solutions, from which we can see that each kind of the solutions in the classification can be realized except one. Keywords: Exact solutions, Complete discrimination system for polynomial method, Time-fractional KdV-Drinfel’d-Sokolov-Wilson system, Traveling wave solutions |
| first_indexed | 2024-12-21T17:35:55Z |
| format | Article |
| id | doaj.art-20feea5ea04d4408a516f7a2c9f514ac |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-21T17:35:55Z |
| publishDate | 2019-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-20feea5ea04d4408a516f7a2c9f514ac2022-12-21T18:55:46ZengElsevierResults in Physics2211-37972019-06-0113The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson systemBing Guan0Shibin Li1Shuangqing Chen2Ligang Zhang3Changhao Wang4School of Petroleum Engineering, Northease Petroleum University, Daqing 163318, ChinaSchool of Petroleum Engineering, Northease Petroleum University, Daqing 163318, ChinaCorresponding author.; School of Petroleum Engineering, Northease Petroleum University, Daqing 163318, ChinaSchool of Petroleum Engineering, Northease Petroleum University, Daqing 163318, ChinaSchool of Petroleum Engineering, Northease Petroleum University, Daqing 163318, ChinaThis article aims to carry out novel research on obtaining exact solutions to a generalized time-fractional KdV-Drinfel’d-Sokolov-Wilson system. The complete discrimination system for polynomial method is applied to handle such a problem. Description of the method is given and all the possible exact traveling wave solutions including hyper-elliptic functions solutions are obtained, which are very difficult to get by other methods. In particular, to show the existence of the solutions, concrete examples are constructed for the concrete parameters of the corresponding solutions, from which we can see that each kind of the solutions in the classification can be realized except one. Keywords: Exact solutions, Complete discrimination system for polynomial method, Time-fractional KdV-Drinfel’d-Sokolov-Wilson system, Traveling wave solutionshttp://www.sciencedirect.com/science/article/pii/S2211379719307971 |
| spellingShingle | Bing Guan Shibin Li Shuangqing Chen Ligang Zhang Changhao Wang The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson system Results in Physics |
| title | The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson system |
| title_full | The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson system |
| title_fullStr | The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson system |
| title_full_unstemmed | The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson system |
| title_short | The classification of single traveling wave solutions to coupled time-fractional KdV-Drinfel’d-Sokolov-Wilson system |
| title_sort | classification of single traveling wave solutions to coupled time fractional kdv drinfel d sokolov wilson system |
| url | http://www.sciencedirect.com/science/article/pii/S2211379719307971 |
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