Lump-type kink wave phenomena of the space-time fractional phi-four equation
This article examines the space-time fractional phi-four (PF) model which is an improvement of the Klein-Fock-Gordon (KFG) model that is relevant in quantum mechanics, transmission of ultra-short pulses in optical fibers, de Broglie wave duality, and compound particles in spinless relativistic syste...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241637 |
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| author | Khudhayr A. Rashedi Musawa Yahya Almusawa Hassan Almusawa Tariq S. Alshammari Adel Almarashi |
| author_facet | Khudhayr A. Rashedi Musawa Yahya Almusawa Hassan Almusawa Tariq S. Alshammari Adel Almarashi |
| author_sort | Khudhayr A. Rashedi |
| collection | DOAJ |
| description | This article examines the space-time fractional phi-four (PF) model which is an improvement of the Klein-Fock-Gordon (KFG) model that is relevant in quantum mechanics, transmission of ultra-short pulses in optical fibers, de Broglie wave duality, and compound particles in spinless relativistic systems. New solitary wave solutions of the fractional phi-four equation were found with the help of the Riccati-Bernoulli sub-ODE method together with the Bäcklund transformation. The conformable fractional derivative played the role of improving the modeling of the complex dynamical systems. The obtained solutions, which were illustrated by giving 2D, 3D MATLAB plots and contour illustrations, were s eful in nuclear, particle physics and fluid mechanics. Thus, the current work demonstrates the applicability of the proposed approach in handling the fractional order deviations and contributes to the investigation of the dynamic behavior of the PF model. |
| format | Article |
| id | doaj-art-c620bc2bcfa84efea1c3245588343efd |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-c620bc2bcfa84efea1c3245588343efd2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912343723438610.3934/math.20241637Lump-type kink wave phenomena of the space-time fractional phi-four equationKhudhayr A. Rashedi0Musawa Yahya Almusawa1Hassan Almusawa2Tariq S. Alshammari3Adel Almarashi4Department of Mathematics, College of Science, University of Ha'il, Ha'il 55476, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Kingdom of Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Kingdom of Saudi ArabiaDepartment of Mathematics, College of Science, University of Ha'il, Ha'il 55476, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Kingdom of Saudi ArabiaThis article examines the space-time fractional phi-four (PF) model which is an improvement of the Klein-Fock-Gordon (KFG) model that is relevant in quantum mechanics, transmission of ultra-short pulses in optical fibers, de Broglie wave duality, and compound particles in spinless relativistic systems. New solitary wave solutions of the fractional phi-four equation were found with the help of the Riccati-Bernoulli sub-ODE method together with the Bäcklund transformation. The conformable fractional derivative played the role of improving the modeling of the complex dynamical systems. The obtained solutions, which were illustrated by giving 2D, 3D MATLAB plots and contour illustrations, were s eful in nuclear, particle physics and fluid mechanics. Thus, the current work demonstrates the applicability of the proposed approach in handling the fractional order deviations and contributes to the investigation of the dynamic behavior of the PF model.https://www.aimspress.com/article/doi/10.3934/math.20241637bäcklund transformationfractional phi-four (pf)riccatti equationsymbolic computationsolitary wave solutions |
| spellingShingle | Khudhayr A. Rashedi Musawa Yahya Almusawa Hassan Almusawa Tariq S. Alshammari Adel Almarashi Lump-type kink wave phenomena of the space-time fractional phi-four equation AIMS Mathematics bäcklund transformation fractional phi-four (pf) riccatti equation symbolic computation solitary wave solutions |
| title | Lump-type kink wave phenomena of the space-time fractional phi-four equation |
| title_full | Lump-type kink wave phenomena of the space-time fractional phi-four equation |
| title_fullStr | Lump-type kink wave phenomena of the space-time fractional phi-four equation |
| title_full_unstemmed | Lump-type kink wave phenomena of the space-time fractional phi-four equation |
| title_short | Lump-type kink wave phenomena of the space-time fractional phi-four equation |
| title_sort | lump type kink wave phenomena of the space time fractional phi four equation |
| topic | bäcklund transformation fractional phi-four (pf) riccatti equation symbolic computation solitary wave solutions |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241637 |
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