Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô Calculus

Elsayed M.E. Zayed, Mohamed E.M. Alngar, Reham M.A. Shohib, Anjan Biswas, Yakup Yıldırım*, Luminita Moraru, Elena Mereuta, Hashim M. Alshehri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The objective of this paper is to locate the embedded solitons with χ(2) and χ(3) nonlinear susceptibilities in presence of multiplicative noise. Itô Calculus was implemented to carry out the analysis of the corresponding stochastic differential equation. The unified Riccati equation expansion method and enhanced Kudryashov's approach yielded dark, bright and singular solitons. The derived soliton solutions show that the effect of white noise is present only in the phase component.

Original languageEnglish
Article number112494
JournalChaos, Solitons and Fractals
Volume162
DOIs
Publication statusPublished - Sep 2022
Externally publishedYes

Keywords

  • Embedded solitons
  • Itô
  • Kudryashov
  • Nonlinear susceptibilities
  • Riccati

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