Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients
In this article, we take into account the fractional space Kundu–Mukherjee–Naskar model with time-dependent coefficients (FSKMNE-TDCs). By incorporating time-dependent coefficients (TDCs) into the equation, researchers can better model systems that exhibit nonconstant or nonlinear behavior over time...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2024-0102 |
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| author | Al-Askar Farah M. |
| author_facet | Al-Askar Farah M. |
| author_sort | Al-Askar Farah M. |
| collection | DOAJ |
| description | In this article, we take into account the fractional space Kundu–Mukherjee–Naskar model with time-dependent coefficients (FSKMNE-TDCs). By incorporating time-dependent coefficients (TDCs) into the equation, researchers can better model systems that exhibit nonconstant or nonlinear behavior over time. This has important implications for understanding complex phenomena such as turbulence in fluid flow, quantum tunneling in particle physics, and time-varying electromagnetic fields. We apply the mapping method to obtain hyperbolic, elliptic, trigonometric and rational fractional solutions. These solutions are vital for understanding some fundamentally complicated phenomena. The obtained solutions will be very helpful for applications such as optical fiber wave propagation in a magnetized plasma, oceanic rogue waves, and ion-acoustic waves. Finally, we show how the M-truncated derivative order and TDCs affect the exact solution of the FSKMNE-TDCs. |
| format | Article |
| id | doaj-art-269a11ef450a44559b9b0c9f2fd1a402 |
| institution | OA Journals |
| issn | 2391-5471 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj-art-269a11ef450a44559b9b0c9f2fd1a4022025-08-20T02:22:11ZengDe GruyterOpen Physics2391-54712024-12-01221085245610.1515/phys-2024-0102Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficientsAl-Askar Farah M.0Department of Mathematical Science, Collage of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaIn this article, we take into account the fractional space Kundu–Mukherjee–Naskar model with time-dependent coefficients (FSKMNE-TDCs). By incorporating time-dependent coefficients (TDCs) into the equation, researchers can better model systems that exhibit nonconstant or nonlinear behavior over time. This has important implications for understanding complex phenomena such as turbulence in fluid flow, quantum tunneling in particle physics, and time-varying electromagnetic fields. We apply the mapping method to obtain hyperbolic, elliptic, trigonometric and rational fractional solutions. These solutions are vital for understanding some fundamentally complicated phenomena. The obtained solutions will be very helpful for applications such as optical fiber wave propagation in a magnetized plasma, oceanic rogue waves, and ion-acoustic waves. Finally, we show how the M-truncated derivative order and TDCs affect the exact solution of the FSKMNE-TDCs.https://doi.org/10.1515/phys-2024-0102exact solutionsrandom coefficientm-truncated derivative operatormapping method |
| spellingShingle | Al-Askar Farah M. Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients Open Physics exact solutions random coefficient m-truncated derivative operator mapping method |
| title | Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients |
| title_full | Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients |
| title_fullStr | Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients |
| title_full_unstemmed | Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients |
| title_short | Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients |
| title_sort | optical solitons to the fractional kundu mukherjee naskar equation with time dependent coefficients |
| topic | exact solutions random coefficient m-truncated derivative operator mapping method |
| url | https://doi.org/10.1515/phys-2024-0102 |
| work_keys_str_mv | AT alaskarfarahm opticalsolitonstothefractionalkundumukherjeenaskarequationwithtimedependentcoefficients |