Fractional solitons: New phenomena and exact solutions
The fractional solitons have demonstrated many new phenomena, which cannot be explained by the traditional solitary wave theory. This paper studies some famous fractional wave equations including the fractional KdV–Burgers equation and the fractional approximate long water wave equation by a modifie...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-04-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1177335/full |
| _version_ | 1797849147446919168 |
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| author | Huajun Zeng Yuxia Wang Min Xiao Ying Wang |
| author_facet | Huajun Zeng Yuxia Wang Min Xiao Ying Wang |
| author_sort | Huajun Zeng |
| collection | DOAJ |
| description | The fractional solitons have demonstrated many new phenomena, which cannot be explained by the traditional solitary wave theory. This paper studies some famous fractional wave equations including the fractional KdV–Burgers equation and the fractional approximate long water wave equation by a modified tanh-function method. The solving process is given in details, and new solitons can be rigorously explained by the obtained exact solutions. This paper offers a new window for studying fractional solitons. |
| first_indexed | 2024-04-09T18:39:10Z |
| format | Article |
| id | doaj.art-0229015ff35f406c9b0752afa6a6890d |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-09T18:39:10Z |
| publishDate | 2023-04-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-0229015ff35f406c9b0752afa6a6890d2023-04-11T05:59:43ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-04-011110.3389/fphy.2023.11773351177335Fractional solitons: New phenomena and exact solutionsHuajun Zeng0Yuxia Wang1Min Xiao2Ying Wang3Zhejiang Gongshang University, Hangzhou, Zhejiang, ChinaZhejiang Gongshang University, Hangzhou, Zhejiang, ChinaZhejiang Gongshang University, Hangzhou, Zhejiang, ChinaSchool of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi, ChinaThe fractional solitons have demonstrated many new phenomena, which cannot be explained by the traditional solitary wave theory. This paper studies some famous fractional wave equations including the fractional KdV–Burgers equation and the fractional approximate long water wave equation by a modified tanh-function method. The solving process is given in details, and new solitons can be rigorously explained by the obtained exact solutions. This paper offers a new window for studying fractional solitons.https://www.frontiersin.org/articles/10.3389/fphy.2023.1177335/fulltime-fractional KdVB modelfractional approximate long water wave modelexact solutionsfractional solitonsfractional complex transform |
| spellingShingle | Huajun Zeng Yuxia Wang Min Xiao Ying Wang Fractional solitons: New phenomena and exact solutions Frontiers in Physics time-fractional KdVB model fractional approximate long water wave model exact solutions fractional solitons fractional complex transform |
| title | Fractional solitons: New phenomena and exact solutions |
| title_full | Fractional solitons: New phenomena and exact solutions |
| title_fullStr | Fractional solitons: New phenomena and exact solutions |
| title_full_unstemmed | Fractional solitons: New phenomena and exact solutions |
| title_short | Fractional solitons: New phenomena and exact solutions |
| title_sort | fractional solitons new phenomena and exact solutions |
| topic | time-fractional KdVB model fractional approximate long water wave model exact solutions fractional solitons fractional complex transform |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1177335/full |
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