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

doi:10.1016/j.chaos.2022.112494

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 journal › Article › peer-review

12 Citations (Scopus)

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 language	English
Article number	112494
Journal	Chaos, Solitons and Fractals
Volume	162
DOIs	https://doi.org/10.1016/j.chaos.2022.112494
Publication status	Published - Sept 2022
Externally published	Yes

Keywords

Embedded solitons
Itô
Kudryashov
Nonlinear susceptibilities
Riccati

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10.1016/j.chaos.2022.112494

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title = "Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via It{\^o} Calculus",

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. It{\^o} 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, It{\^o}, Kudryashov, Nonlinear susceptibilities, Riccati",

author = "Zayed, {Elsayed M.E.} and Alngar, {Mohamed E.M.} and Shohib, {Reham M.A.} and Anjan Biswas and Yakup Yıldırım and Luminita Moraru and Elena Mereuta and Alshehri, {Hashim M.}",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = sep,

doi = "10.1016/j.chaos.2022.112494",

language = "English",

volume = "162",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô Calculus

AU - Zayed, Elsayed M.E.

AU - Alngar, Mohamed E.M.

AU - Shohib, Reham M.A.

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Moraru, Luminita

AU - Mereuta, Elena

AU - Alshehri, Hashim M.

PY - 2022/9

Y1 - 2022/9

N2 - 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.

AB - 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.

KW - Embedded solitons

KW - Itô

KW - Kudryashov

KW - Nonlinear susceptibilities

KW - Riccati

UR - http://www.scopus.com/inward/record.url?scp=85135717678&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2022.112494

DO - 10.1016/j.chaos.2022.112494

M3 - Article

AN - SCOPUS:85135717678

SN - 0960-0779

VL - 162

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 112494

ER -

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

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Keywords

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