The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication-Reference-Cited by-同舟云学术

The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication

Published:2023 Issue:6 Volume:31 Page:3552-3567
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Albosaily Sahar¹,Mohammed Wael¹²,El-Morshedy Mahmoud³⁴

Affiliation:

1. Department of Mathematics, Collage of Science, University of Ha'il, Ha'il 2440, Saudi Arabia

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

3. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

4. Department of Statistics and Computer Science, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

<abstract><p>The fractional-stochastic Fokas-Lenells equation (FSFLE) in the Stratonovich sense is taken into account here. The modified mapping method is used to generate new trigonometric, hyperbolic, elliptic and rational stochastic fractional solutions. Because the Fokas-Lenells equation has many implementations in telecommunication modes, complex system theory, quantum field theory, and quantum mechanics, the obtained solutions can be employed to describe a wide range of exciting physical phenomena. We plot several 2D and 3D diagrams to demonstrate how multiplicative noise and fractional derivatives affect the analytical solutions of the FSFLE. Also, we show how multiplicative noise at zero stabilizes FSFLE solutions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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