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

Sahar Albosaily; Wael Mohammed; Mahmoud El-Morshedy; Sahar Albosaily; Wael Mohammed; Mahmoud El-Morshedy

doi:10.3934/era.2023180

Electronic Research Archive

2023, Volume 31, Issue 6: 3552-3567. doi: 10.3934/era.2023180

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

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

Received: 21 January 2023 Revised: 27 March 2023 Accepted: 29 March 2023 Published: 23 April 2023

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.
- fractional Fokas-Lenells,
- optical solitons,
- multiplicative noise,
- modified mapping method
Citation: Sahar Albosaily, Wael Mohammed, Mahmoud El-Morshedy. The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication[J]. Electronic Research Archive, 2023, 31(6): 3552-3567. doi: 10.3934/era.2023180

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Abstract

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.

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