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

Sahar Albosaily; Wael Mohammed; Mahmoud El-Morshedy

doi:10.3934/ERA.2023180

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

Sahar Albosaily
, Wael Mohammed
, Mahmoud El-Morshedy

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	3552-3567
Number of pages	16
Journal	Electronic Research Archive
Volume	31
Issue number	6
DOIs	https://doi.org/10.3934/ERA.2023180
State	Published - 2023

Keywords

fractional Fokas-Lenells
modified mapping method
multiplicative noise
optical solitons

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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.",

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author = "Sahar Albosaily and Wael Mohammed and Mahmoud El-Morshedy",

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AU - Albosaily, Sahar

AU - Mohammed, Wael

AU - El-Morshedy, Mahmoud

N1 - Publisher Copyright: © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - fractional Fokas-Lenells

KW - modified mapping method

KW - multiplicative noise

KW - optical solitons

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DO - 10.3934/ERA.2023180

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VL - 31

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JO - Electronic Research Archive

JF - Electronic Research Archive

IS - 6

ER -

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

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Keywords

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