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Optical wave features and sensitivity analysis of a coupled fractional integrable system

Results in Physics 2025年 68卷

作者： Muhammad, Jan Younas, Usman Almutairi, D.K. Khan, Aziz Abdeljawad, Thabet Department of Mathematics Shanghai University No. 99 Shangda Road Shanghai 200444 China Department of Mathematics College of Science Al-Zulfi Majmaah University Saudi Arabia Department of Mathematics and Sciences Prince Sultan University Riyadh Saudi Arabia Department of Mathematics Saveetha School of Engineering Saveetha Institute of Medical and Technical Sciences Saveetha University Tamil Nadu Chennai 602105 India 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

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. © 2024 The Authors

关键词： Akbota equation Fractional derivatives generalized multivariate exponential rational integral function technique Kumar-Malik method Nonlinear phenomena Optical solitons

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