On the existence of chirped algebraic solitary waves in optical fibers governed by Kundu–Eckhaus equation

Houria Triki; Yunzhou Sun; Anjan Biswas; Qin Zhou; Yakup Yıldırım; Yu Zhong; Hashim M. Alshehri

doi:10.1016/j.rinp.2022.105272

On the existence of chirped algebraic solitary waves in optical fibers governed by Kundu–Eckhaus equation

Houria Triki, Yunzhou Sun^*, Anjan Biswas, Qin Zhou, Yakup Yıldırım, Yu Zhong, Hashim M. Alshehri

^*Corresponding author for this work

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

20 Citations (Scopus)

Abstract

This paper reports the first analytical demonstration of propagation of algebraic solitary waves accompanied with a nonlinear chirp in optical fibers governed by the Kundu–Eckhaus equation. Both chirped dark and bright algebraic solitary waves can exist in the system with higher-order effects such as Raman effect and quintic nonlinearity. The chirp associated with each of these algebraic solitary waves is shown to be dependent on the intensity of the wave. It is found that the Raman process has a profound impact in the chirp of these localized pulses.

Original language	English
Article number	105272
Journal	Results in Physics
Volume	34
DOIs	https://doi.org/10.1016/j.rinp.2022.105272
Publication status	Published - Mar 2022
Externally published	Yes

Keywords

Chirped soliton
Fokas–Lenells equation
Optical fibers

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10.1016/j.rinp.2022.105272

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title = "On the existence of chirped algebraic solitary waves in optical fibers governed by Kundu–Eckhaus equation",

abstract = "This paper reports the first analytical demonstration of propagation of algebraic solitary waves accompanied with a nonlinear chirp in optical fibers governed by the Kundu–Eckhaus equation. Both chirped dark and bright algebraic solitary waves can exist in the system with higher-order effects such as Raman effect and quintic nonlinearity. The chirp associated with each of these algebraic solitary waves is shown to be dependent on the intensity of the wave. It is found that the Raman process has a profound impact in the chirp of these localized pulses.",

keywords = "Chirped soliton, Fokas–Lenells equation, Optical fibers",

author = "Houria Triki and Yunzhou Sun and Anjan Biswas and Qin Zhou and Yakup Yıldırım and Yu Zhong and Alshehri, {Hashim M.}",

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

year = "2022",

month = mar,

doi = "10.1016/j.rinp.2022.105272",

language = "English",

volume = "34",

journal = "Results in Physics",

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T1 - On the existence of chirped algebraic solitary waves in optical fibers governed by Kundu–Eckhaus equation

AU - Triki, Houria

AU - Sun, Yunzhou

AU - Biswas, Anjan

AU - Zhou, Qin

AU - Yıldırım, Yakup

AU - Zhong, Yu

AU - Alshehri, Hashim M.

PY - 2022/3

Y1 - 2022/3

N2 - This paper reports the first analytical demonstration of propagation of algebraic solitary waves accompanied with a nonlinear chirp in optical fibers governed by the Kundu–Eckhaus equation. Both chirped dark and bright algebraic solitary waves can exist in the system with higher-order effects such as Raman effect and quintic nonlinearity. The chirp associated with each of these algebraic solitary waves is shown to be dependent on the intensity of the wave. It is found that the Raman process has a profound impact in the chirp of these localized pulses.

AB - This paper reports the first analytical demonstration of propagation of algebraic solitary waves accompanied with a nonlinear chirp in optical fibers governed by the Kundu–Eckhaus equation. Both chirped dark and bright algebraic solitary waves can exist in the system with higher-order effects such as Raman effect and quintic nonlinearity. The chirp associated with each of these algebraic solitary waves is shown to be dependent on the intensity of the wave. It is found that the Raman process has a profound impact in the chirp of these localized pulses.

KW - Chirped soliton

KW - Fokas–Lenells equation

KW - Optical fibers

UR - http://www.scopus.com/inward/record.url?scp=85124623037&partnerID=8YFLogxK

U2 - 10.1016/j.rinp.2022.105272

DO - 10.1016/j.rinp.2022.105272

M3 - Article

AN - SCOPUS:85124623037

SN - 2211-3797

VL - 34

JO - Results in Physics

JF - Results in Physics

M1 - 105272

ER -

On the existence of chirped algebraic solitary waves in optical fibers governed by Kundu–Eckhaus equation

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Keywords

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