Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative
This article describes the construction of optical solitons and single traveling wave solutions of Biswas-Arshed equation with the beta time derivative. By using the polynomial complete discriminant system method, a series of traveling wave solutions are constructed, including the rational function...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022837?viewType=HTML |
| _version_ | 1818244613429788672 |
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| author | Tianyong Han Zhao Li Jun Yuan |
| author_facet | Tianyong Han Zhao Li Jun Yuan |
| author_sort | Tianyong Han |
| collection | DOAJ |
| description | This article describes the construction of optical solitons and single traveling wave solutions of Biswas-Arshed equation with the beta time derivative. By using the polynomial complete discriminant system method, a series of traveling wave solutions are constructed, including the rational function solutions, Jacobian elliptic function solutions, hyperbolic function solutions, trigonometric function solutions and inverse trigonometric function solutions. The conclusions of this paper comprise some new and different solutions that cannot be found in existing literature. Using the mathematic software Maple, the 3D and 2D graphs of the obtained traveling wave solutions were also developed. It is worth noting that these traveling wave solutions may motivate us to explore new phenomena which may be appear in optical fiber propagation theory. |
| first_indexed | 2024-12-12T14:19:48Z |
| format | Article |
| id | doaj.art-ab2b9fcae3a34c8a854da6fea803230e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-12T14:19:48Z |
| publishDate | 2022-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ab2b9fcae3a34c8a854da6fea803230e2022-12-22T00:21:49ZengAIMS PressAIMS Mathematics2473-69882022-06-0178152821529710.3934/math.2022837Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivativeTianyong Han0Zhao Li1Jun Yuan21. College of Computer Science, Chengdu University, Chengdu, Sichuan 610106, China1. College of Computer Science, Chengdu University, Chengdu, Sichuan 610106, China2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing, Jiangsu 211171, ChinaThis article describes the construction of optical solitons and single traveling wave solutions of Biswas-Arshed equation with the beta time derivative. By using the polynomial complete discriminant system method, a series of traveling wave solutions are constructed, including the rational function solutions, Jacobian elliptic function solutions, hyperbolic function solutions, trigonometric function solutions and inverse trigonometric function solutions. The conclusions of this paper comprise some new and different solutions that cannot be found in existing literature. Using the mathematic software Maple, the 3D and 2D graphs of the obtained traveling wave solutions were also developed. It is worth noting that these traveling wave solutions may motivate us to explore new phenomena which may be appear in optical fiber propagation theory.https://www.aimspress.com/article/doi/10.3934/math.2022837?viewType=HTMLbiswas-arshed equation with beta-time derivativeoptical solitontraveling wave solutioncomplete discrimination system method |
| spellingShingle | Tianyong Han Zhao Li Jun Yuan Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative AIMS Mathematics biswas-arshed equation with beta-time derivative optical soliton traveling wave solution complete discrimination system method |
| title | Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative |
| title_full | Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative |
| title_fullStr | Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative |
| title_full_unstemmed | Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative |
| title_short | Optical solitons and single traveling wave solutions of Biswas-Arshed equation in birefringent fibers with the beta-time derivative |
| title_sort | optical solitons and single traveling wave solutions of biswas arshed equation in birefringent fibers with the beta time derivative |
| topic | biswas-arshed equation with beta-time derivative optical soliton traveling wave solution complete discrimination system method |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022837?viewType=HTML |
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