The dynamical study of fractional complex coupled maccari system in nonlinear optics via two analytical approaches
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
The dynamical study of fractional complex coupled maccari system in nonlinear optics via two analytical approaches
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| Автор |
Ehsan, H.
Abbas, M. El-Rahman, M. A. Ali, M. R. Hendy, A. S. |
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| Тематика |
BETA-DERIVATIVE
CONFORMABLE DERIVATIVE FRACTIONAL COMPLEX COUPLED MACCARI SYSTEM M-TRUNCATED DERIVATIVE MODIFIED AUXILIARY EQUATION METHOD RICCATI–BERNOULLI SUB-ODE METHOD |
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| Описание |
In this work, the modified auxiliary equation method (MAEM) and the Riccati–Bernoulli sub-ODE method (RBM) are used to investigate the soliton solutions of the fractional complex coupled maccari system (FCCMS). Nonlinear partial differential equations (NLPDEs) can be transformed into a collection of algebraic equations by utilizing a travelling wave transformation, the MAEM, and the RBM. As a result, solutions to hyperbolic, trigonometric and rational functions with unconstrained parameters are obtained. The travelling wave solutions can also be used to generate the solitary wave solutions when the parameters are given particular values. There are several solutions that are modelled for different parameter combinations. We have developed a number of novel solutions, such as the kink, periodic, M-waved, W-shaped, bright soliton, dark soliton, and singular soliton solution. We simulate our figures in Mathematica and provide many 2D and 3D graphs to show how the beta derivative, M-truncated derivative and conformable derivative impacts the analytical solutions of the FCCMS.The results show how effectively the MAEM and RBM work together to extract solitons for fractional-order nonlinear evolution equations in science, technology, and engineering. © 2023 The Authors
King Khalid University, KKU: RGP2/69/44 The third author extends his appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under grant number RGP2/69/44 . |
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| Дата |
2024-04-05T16:30:22Z
2024-04-05T16:30:22Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Ehsan, H, Abbas, MW, El-Rahman, MA, Ali, MR & Hendy, A 2023, 'The dynamical study of fractional complex coupled maccari system in nonlinear optics via two analytical approaches', Results in Physics, Том. 52, 106775. https://doi.org/10.1016/j.rinp.2023.106775
Ehsan, H., Abbas, M. W., El-Rahman, M. A., Ali, M. R., & Hendy, A. (2023). The dynamical study of fractional complex coupled maccari system in nonlinear optics via two analytical approaches. Results in Physics, 52, [106775]. https://doi.org/10.1016/j.rinp.2023.106775 2211-3797 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85166268393&doi=10.1016%2fj.rinp.2023.106775&partnerID=40&md5=82625558b5564098e4101739534e1da4 https://doi.org/10.1016/j.rinp.2023.106775 http://elar.urfu.ru/handle/10995/130683 10.1016/j.rinp.2023.106775 85166268393 001051583000001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Elsevier B.V.
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| Источник |
Results in Physics
Results in Physics |
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