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Highly dispersive embedded solitons with quadratic [formula omitted] and cubic [formula omitted] non-linear susceptibilities having multiplicative white noise via Itô calculus.

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Title: Highly dispersive embedded solitons with quadratic [formula omitted] and cubic [formula omitted] non-linear susceptibilities having multiplicative white noise via Itô calculus.
Authors: AlQahtani, Salman A.1 (AUTHOR) salmanq@ksu.edu.sa, Alngar, Mohamed E.M.1,2 (AUTHOR) mohamed.hassan@cs.mti.edu.eg, Shohib, Reham M.A.3 (AUTHOR) reham.ma@mft.edu.eg, Pathak, Pranavkumar4 (AUTHOR) pranavkumar.pathak@mail.mcgill.ca
Source: Chaos, Solitons & Fractals. Jun2023, Vol. 171, pN.PAG-N.PAG. 1p.
Subjects: White noise, Solitons
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. • 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 by using two methods. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. • 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 by using two methods. [ABSTRACT FROM AUTHOR]
ISSN:09600779
DOI:10.1016/j.chaos.2023.113498