Dispersive Optical Gap Soliton Perturbation with Multiplicative White Noise

Elsayed M.E. Zayed; Mona El-Shater; Ahmed H. Arnous; Seithuti P. Moshokoa; Anjan Biswas

doi:10.3390/telecom6040090

Dispersive Optical Gap Soliton Perturbation with Multiplicative White Noise

Elsayed M.E. Zayed
, Mona El-Shater
, Ahmed H. Arnous
, Seithuti P. Moshokoa
, Anjan Biswas^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This paper recovers dispersive gap solitons with the Kerr law of self-phase modulation and dispersive reflectivity. The enhanced direct algebraic method and the modified version of the sub-ODE approach have collectively made this retrieval possible. The intermediary solutions are the double-periodic functions that yielded the soliton solutions when the modulus of ellipticity approached unity. The Weierstrass elliptic function is the other form of intermediary function recovered from the model that also yielded soliton solutions as its special case.

Original language	English
Article number	90
Journal	Telecom
Volume	6
Issue number	4
DOIs	https://doi.org/10.3390/telecom6040090
Publication status	Published - Dec 2025
Externally published	Yes

Keywords

Jacobi
Weierstrass
gap solitons
white noise

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10.3390/telecom6040090

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title = "Dispersive Optical Gap Soliton Perturbation with Multiplicative White Noise",

abstract = "This paper recovers dispersive gap solitons with the Kerr law of self-phase modulation and dispersive reflectivity. The enhanced direct algebraic method and the modified version of the sub-ODE approach have collectively made this retrieval possible. The intermediary solutions are the double-periodic functions that yielded the soliton solutions when the modulus of ellipticity approached unity. The Weierstrass elliptic function is the other form of intermediary function recovered from the model that also yielded soliton solutions as its special case.",

keywords = "Jacobi, Weierstrass, gap solitons, white noise",

author = "Zayed, \{Elsayed M.E.\} and Mona El-Shater and Arnous, \{Ahmed H.\} and Moshokoa, \{Seithuti P.\} and Anjan Biswas",

note = "Publisher Copyright: {\textcopyright} 2025 by the authors.",

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month = dec,

doi = "10.3390/telecom6040090",

language = "English",

volume = "6",

journal = "Telecom",

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T1 - Dispersive Optical Gap Soliton Perturbation with Multiplicative White Noise

AU - Zayed, Elsayed M.E.

AU - El-Shater, Mona

AU - Arnous, Ahmed H.

AU - Moshokoa, Seithuti P.

AU - Biswas, Anjan

PY - 2025/12

Y1 - 2025/12

N2 - This paper recovers dispersive gap solitons with the Kerr law of self-phase modulation and dispersive reflectivity. The enhanced direct algebraic method and the modified version of the sub-ODE approach have collectively made this retrieval possible. The intermediary solutions are the double-periodic functions that yielded the soliton solutions when the modulus of ellipticity approached unity. The Weierstrass elliptic function is the other form of intermediary function recovered from the model that also yielded soliton solutions as its special case.

AB - This paper recovers dispersive gap solitons with the Kerr law of self-phase modulation and dispersive reflectivity. The enhanced direct algebraic method and the modified version of the sub-ODE approach have collectively made this retrieval possible. The intermediary solutions are the double-periodic functions that yielded the soliton solutions when the modulus of ellipticity approached unity. The Weierstrass elliptic function is the other form of intermediary function recovered from the model that also yielded soliton solutions as its special case.

KW - Jacobi

KW - Weierstrass

KW - gap solitons

KW - white noise

UR - https://www.scopus.com/pages/publications/105025728746

U2 - 10.3390/telecom6040090

DO - 10.3390/telecom6040090

M3 - Article

AN - SCOPUS:105025728746

SN - 2673-4001

VL - 6

JO - Telecom

JF - Telecom

IS - 4

M1 - 90

ER -

Dispersive Optical Gap Soliton Perturbation with Multiplicative White Noise

Abstract

Keywords

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