The Analytical Fractional Solutions for Coupled Fokas System in Fiber Optics Using Different Methods-Reference-Cited by-同舟云学术

The Analytical Fractional Solutions for Coupled Fokas System in Fiber Optics Using Different Methods

Published:2023-07-18 Issue:7 Volume:7 Page:556
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Mohammed Wael W.¹²^ORCID,Cesarano Clemente³^ORCID,Elsayed Elsayed M.⁴^ORCID,Al-Askar Farah M.⁵^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

3. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

4. Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

5. Department of Mathematical Science, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

The Fokas system with M-truncated derivative (FS-MTD) was considered in this study. To get analytical solutions of FS-MTD in the forms of elliptic, rational, hyperbolic, and trigonometric functions, we employed the extend F-expansion approach and the Jacobi elliptic function method. Since nonlinear pulse transmission in monomode optical fibers is explained by the Fokas system, the derived solutions may be utilized to analyze a broad range of important physical processes. In order to comprehend the impacts of MTD on the solutions, the dynamic behavior of the various generated solutions are shown using 2D and 3D figures.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/556/pdf

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