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

Sahar Albosaily, Wael Mohammed, Mahmoud El-Morshedy

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)3552-3567
Number of pages16
JournalElectronic Research Archive
Volume31
Issue number6
DOIs
StatePublished - 2023

Keywords

  • fractional Fokas-Lenells
  • modified mapping method
  • multiplicative noise
  • optical solitons

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