Highly dispersive embedded solitons with quadratic χ(2) and cubic χ(3) non-linear susceptibilities having multiplicative white noise via Itô calculus

Salman A. AlQahtani, Mohamed E.M. Alngar, Reham M.A. Shohib and Pranavkumar Pathak

Chaos, Solitons & Fractals, 2023, vol. 171, issue C

Abstract: The objective of this article is to investigate highly dispersive embedded solitons characterized by χ(2) and χ(3) non-linear susceptibilities, and incorporating multiplicative white noise in the Itô sense. To achieve this, we utilize both the new auxiliary equation method and an addendum to Kudryashov’s method. The analysis conducted in this study results in solutions for bright solitons, singular solitons, and combo bright-singular solitons. Simulations of the bright soliton solutions are given. The system being studied and the outcomes outlined in the manuscript are innovative and original.

Keywords: Embedded solitons; Highly dispersive; Multiplicative white noise; Quadratic χ(2) and cubic χ(3); Itô sense (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003995

DOI: 10.1016/j.chaos.2023.113498

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