Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ6-Model Expansion

Abdul Ghani Al-Nowehy; Elsayed M.E. Zayed; Ahmed H. Arnous; Yakup Yildirim; Luminita Moraru; Anjan Biswas

doi:10.37256/cm.6320256902

Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ⁶-Model Expansion

Abdul Ghani Al-Nowehy, Elsayed M.E. Zayed, Ahmed H. Arnous, Yakup Yildirim, Luminita Moraru, Anjan Biswas

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

Abstract

This paper recovers optical solitons solutions with polarization-mode dispersion in optical fibers. The governing model is the Kundu-Eckhaus equation. The adopted integration scheme is the generalized ϕ⁶-model expansion. The intermediary functions are the Jacobi’s elliptic functions and the Weierstrass’ elliptic functions. The parameter constraints for the existence of such solitons are also presented.

Original language	English
Pages (from-to)	3230-3252
Number of pages	23
Journal	Contemporary Mathematics (Singapore)
Volume	6
Issue number	3
DOIs	https://doi.org/10.37256/cm.6320256902
Publication status	Published - 2025
Externally published	Yes

Keywords

integrability
solitons

Access to Document

10.37256/cm.6320256902

Cite this

@article{56728dbf65194bc4bd359ba8025ee29e,

title = "Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ6-Model Expansion",

abstract = "This paper recovers optical solitons solutions with polarization-mode dispersion in optical fibers. The governing model is the Kundu-Eckhaus equation. The adopted integration scheme is the generalized ϕ6-model expansion. The intermediary functions are the Jacobi{\textquoteright}s elliptic functions and the Weierstrass{\textquoteright} elliptic functions. The parameter constraints for the existence of such solitons are also presented.",

keywords = "integrability, solitons",

author = "Al-Nowehy, \{Abdul Ghani\} and Zayed, \{Elsayed M.E.\} and Arnous, \{Ahmed H.\} and Yakup Yildirim and Luminita Moraru and Anjan Biswas",

note = "Publisher Copyright: {\textcopyright} 2025 Yakup Yildirim, et al.",

year = "2025",

doi = "10.37256/cm.6320256902",

language = "English",

volume = "6",

pages = "3230--3252",

journal = "Contemporary Mathematics (Singapore)",

issn = "2705-1064",

publisher = "Universal Wiser Publisher",

number = "3",

}

TY - JOUR

T1 - Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ6-Model Expansion

AU - Al-Nowehy, Abdul Ghani

AU - Zayed, Elsayed M.E.

AU - Arnous, Ahmed H.

AU - Yildirim, Yakup

AU - Moraru, Luminita

AU - Biswas, Anjan

PY - 2025

Y1 - 2025

N2 - This paper recovers optical solitons solutions with polarization-mode dispersion in optical fibers. The governing model is the Kundu-Eckhaus equation. The adopted integration scheme is the generalized ϕ6-model expansion. The intermediary functions are the Jacobi’s elliptic functions and the Weierstrass’ elliptic functions. The parameter constraints for the existence of such solitons are also presented.

AB - This paper recovers optical solitons solutions with polarization-mode dispersion in optical fibers. The governing model is the Kundu-Eckhaus equation. The adopted integration scheme is the generalized ϕ6-model expansion. The intermediary functions are the Jacobi’s elliptic functions and the Weierstrass’ elliptic functions. The parameter constraints for the existence of such solitons are also presented.

KW - integrability

KW - solitons

UR - https://www.scopus.com/pages/publications/105007207366

U2 - 10.37256/cm.6320256902

DO - 10.37256/cm.6320256902

M3 - Article

AN - SCOPUS:105007207366

SN - 2705-1064

VL - 6

SP - 3230

EP - 3252

JO - Contemporary Mathematics (Singapore)

JF - Contemporary Mathematics (Singapore)

IS - 3

ER -

Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ⁶-Model Expansion

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this