Optical wave features and sensitivity analysis of a coupled fractional integrable system
This paper explores optical wave features of a coupled fractional integrable Akbota equation. The study of the dynamical systems governing the propagation of soliton waves across transcontinental and transoceanic distances through optical fibers is among the most intriguing fields of research. The A...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724007459 |
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| author | Jan Muhammad Usman Younas D.K. Almutairi Aziz Khan Thabet Abdeljawad |
| author_facet | Jan Muhammad Usman Younas D.K. Almutairi Aziz Khan Thabet Abdeljawad |
| author_sort | Jan Muhammad |
| collection | DOAJ |
| description | This paper explores optical wave features of a coupled fractional integrable Akbota equation. The study of the dynamical systems governing the propagation of soliton waves across transcontinental and transoceanic distances through optical fibers is among the most intriguing fields of research. The Akbota equation, is a basic tool for investigating nonlinear phenomena in optics, differential geometry of curves, and magnetism. The optical wave solutions are extracted in the forms of different solitary waves as well as periodic, hyperbolic exponential function solutions. The solutions are extracted using sophisticated methods, such as the multivariate generalized exponential rational integral function approach and Kumar-Malik method. Moreover, the sensitivity analysis of the studied model is also discussed. In addition, a variety of plots demonstrating the effect of fractional derivatives are provided to observe the physical behavior of the derived solutions by the assistance of the parameters. The outcomes obtained indicate that the implemented computational strategies are proficient, succinct, effective and they can be combined with representative computations to tackle more intricate phenomena. |
| format | Article |
| id | doaj-art-a17bdce4579543a4947f034c031fe79f |
| institution | Kabale University |
| issn | 2211-3797 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj-art-a17bdce4579543a4947f034c031fe79f2025-01-18T05:04:27ZengElsevierResults in Physics2211-37972025-01-0168108060Optical wave features and sensitivity analysis of a coupled fractional integrable systemJan Muhammad0Usman Younas1D.K. Almutairi2Aziz Khan3Thabet Abdeljawad4Department of Mathematics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, No. 99 Shangda Road, Shanghai 200444, ChinaDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, Medusa 0204, South Africa; Corresponding author.This paper explores optical wave features of a coupled fractional integrable Akbota equation. The study of the dynamical systems governing the propagation of soliton waves across transcontinental and transoceanic distances through optical fibers is among the most intriguing fields of research. The Akbota equation, is a basic tool for investigating nonlinear phenomena in optics, differential geometry of curves, and magnetism. The optical wave solutions are extracted in the forms of different solitary waves as well as periodic, hyperbolic exponential function solutions. The solutions are extracted using sophisticated methods, such as the multivariate generalized exponential rational integral function approach and Kumar-Malik method. Moreover, the sensitivity analysis of the studied model is also discussed. In addition, a variety of plots demonstrating the effect of fractional derivatives are provided to observe the physical behavior of the derived solutions by the assistance of the parameters. The outcomes obtained indicate that the implemented computational strategies are proficient, succinct, effective and they can be combined with representative computations to tackle more intricate phenomena.http://www.sciencedirect.com/science/article/pii/S2211379724007459Akbota equationOptical solitonsGeneralized multivariate exponential rational integral function techniqueKumar-Malik methodNonlinear phenomenaFractional derivatives |
| spellingShingle | Jan Muhammad Usman Younas D.K. Almutairi Aziz Khan Thabet Abdeljawad Optical wave features and sensitivity analysis of a coupled fractional integrable system Results in Physics Akbota equation Optical solitons Generalized multivariate exponential rational integral function technique Kumar-Malik method Nonlinear phenomena Fractional derivatives |
| title | Optical wave features and sensitivity analysis of a coupled fractional integrable system |
| title_full | Optical wave features and sensitivity analysis of a coupled fractional integrable system |
| title_fullStr | Optical wave features and sensitivity analysis of a coupled fractional integrable system |
| title_full_unstemmed | Optical wave features and sensitivity analysis of a coupled fractional integrable system |
| title_short | Optical wave features and sensitivity analysis of a coupled fractional integrable system |
| title_sort | optical wave features and sensitivity analysis of a coupled fractional integrable system |
| topic | Akbota equation Optical solitons Generalized multivariate exponential rational integral function technique Kumar-Malik method Nonlinear phenomena Fractional derivatives |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724007459 |
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