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 and Hashim M. Alshehri

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

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.

Keywords: Embedded solitons; Riccati; Kudryashov; Nonlinear susceptibilities; Itô (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077922007007
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922007007

DOI: 10.1016/j.chaos.2022.112494

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().