Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers
The main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system. Firstly, the Fokas systems are reduced to two-dimensional planar dynamic system by using the traveling wave tran...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2023/8783222 |
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| _version_ | 1849412324524294144 |
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| author | Chao Tang Zhao Li |
| author_facet | Chao Tang Zhao Li |
| author_sort | Chao Tang |
| collection | DOAJ |
| description | The main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system. Firstly, the Fokas systems are reduced to two-dimensional planar dynamic system by using the traveling wave transformation. Secondly, by selecting fixed parameters, the phase portraits are drawn by using the Maple software. Finally, the Jacobi elliptic function solutions, the hyperbolic function solutions, and trigonometric function solutions of the Fokas system are obtained. |
| format | Article |
| id | doaj-art-5c15e272bc18456d9a0dfd72f224bf30 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5c15e272bc18456d9a0dfd72f224bf302025-08-20T03:34:28ZengWileyAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/8783222Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical FibersChao Tang0Zhao Li1College of Computer ScienceCollege of Computer ScienceThe main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system. Firstly, the Fokas systems are reduced to two-dimensional planar dynamic system by using the traveling wave transformation. Secondly, by selecting fixed parameters, the phase portraits are drawn by using the Maple software. Finally, the Jacobi elliptic function solutions, the hyperbolic function solutions, and trigonometric function solutions of the Fokas system are obtained.http://dx.doi.org/10.1155/2023/8783222 |
| spellingShingle | Chao Tang Zhao Li Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers Advances in Mathematical Physics |
| title | Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers |
| title_full | Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers |
| title_fullStr | Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers |
| title_full_unstemmed | Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers |
| title_short | Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers |
| title_sort | phase portraits and traveling wave solutions of fokas system in monomode optical fibers |
| url | http://dx.doi.org/10.1155/2023/8783222 |
| work_keys_str_mv | AT chaotang phaseportraitsandtravelingwavesolutionsoffokassysteminmonomodeopticalfibers AT zhaoli phaseportraitsandtravelingwavesolutionsoffokassysteminmonomodeopticalfibers |