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

Autor:	Sahar Albosaily, Wael Mohammed, Mahmoud El-Morshedy
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional fokas-lenells optical solitons multiplicative noise modified mapping method Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 31, Iss 6, Pp 3552-3567 (2023)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2023180?viewType=HTML
Popis:	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.
Databáze:	Directory of Open Access Journals
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