Dispersive Quiescent Optical Solitons with DWDM Topology

Elsayed M.E. Zayed; Mona El-Shater; Ahmed H. Arnous; Lina S. Calucag; Anjan Biswas

doi:10.3390/appliedmath6020033

Dispersive Quiescent Optical Solitons with DWDM Topology

Elsayed M.E. Zayed
, Mona El-Shater
, Ahmed H. Arnous
, Lina S. Calucag
, Anjan Biswas^*

^*Corresponding author for this work

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

Abstract

The paper retrieves quiescent dispersive solitons in dispersion-flattened optical fibers having nonlinear chromatic dispersion and the Kerr law of self-phase modulation. The platform model is the Schrödinger–Hirota equation. The enhanced direct algebraic method has made this retrieval possible. The intermediary functions are Jacobi’s elliptic function and Weierstrass’ elliptic function. The final results appear with parameter constraints for the existence of such solitons.

Original language	English
Article number	33
Journal	AppliedMath
Volume	6
Issue number	2
DOIs	https://doi.org/10.3390/appliedmath6020033
Publication status	Published - Feb 2026
Externally published	Yes

Keywords

chromatic dispersion
quiescent solitons
temporal evolution

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10.3390/appliedmath6020033

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title = "Dispersive Quiescent Optical Solitons with DWDM Topology",

abstract = "The paper retrieves quiescent dispersive solitons in dispersion-flattened optical fibers having nonlinear chromatic dispersion and the Kerr law of self-phase modulation. The platform model is the Schr{\"o}dinger{\textendash}Hirota equation. The enhanced direct algebraic method has made this retrieval possible. The intermediary functions are Jacobi{\textquoteright}s elliptic function and Weierstrass{\textquoteright} elliptic function. The final results appear with parameter constraints for the existence of such solitons.",

keywords = "chromatic dispersion, quiescent solitons, temporal evolution",

author = "Zayed, \{Elsayed M.E.\} and Mona El-Shater and Arnous, \{Ahmed H.\} and Calucag, \{Lina S.\} and Anjan Biswas",

note = "Publisher Copyright: {\textcopyright} 2026 by the authors.",

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doi = "10.3390/appliedmath6020033",

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volume = "6",

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T1 - Dispersive Quiescent Optical Solitons with DWDM Topology

AU - Zayed, Elsayed M.E.

AU - El-Shater, Mona

AU - Arnous, Ahmed H.

AU - Calucag, Lina S.

AU - Biswas, Anjan

PY - 2026/2

Y1 - 2026/2

N2 - The paper retrieves quiescent dispersive solitons in dispersion-flattened optical fibers having nonlinear chromatic dispersion and the Kerr law of self-phase modulation. The platform model is the Schrödinger–Hirota equation. The enhanced direct algebraic method has made this retrieval possible. The intermediary functions are Jacobi’s elliptic function and Weierstrass’ elliptic function. The final results appear with parameter constraints for the existence of such solitons.

AB - The paper retrieves quiescent dispersive solitons in dispersion-flattened optical fibers having nonlinear chromatic dispersion and the Kerr law of self-phase modulation. The platform model is the Schrödinger–Hirota equation. The enhanced direct algebraic method has made this retrieval possible. The intermediary functions are Jacobi’s elliptic function and Weierstrass’ elliptic function. The final results appear with parameter constraints for the existence of such solitons.

KW - chromatic dispersion

KW - quiescent solitons

KW - temporal evolution

UR - https://www.scopus.com/pages/publications/105031387358

U2 - 10.3390/appliedmath6020033

DO - 10.3390/appliedmath6020033

M3 - Article

AN - SCOPUS:105031387358

SN - 2673-9909

VL - 6

JO - AppliedMath

JF - AppliedMath

IS - 2

M1 - 33

ER -

Dispersive Quiescent Optical Solitons with DWDM Topology

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Keywords

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