W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers

Annamalai Muniyappan; Muthuvel Sharmila; Elumalai Kaviya Priya; Sekar Sumithra; Anjan Biswas; Yakup Yıldırım; Maggie Aphane; Seithuti P. Moshokoa; Hashim M. Alshehri

doi:10.3176/proc.2023.2.04

W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers

Annamalai Muniyappan, Muthuvel Sharmila, Elumalai Kaviya Priya, Sekar Sumithra, Anjan Biswas^*, Yakup Yıldırım, Maggie Aphane, Seithuti P. Moshokoa, Hashim M. Alshehri

^*Corresponding author for this work

Mathematics and Applied Mathematics

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

11 Citations (Scopus)

Abstract

In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear Schrödinger equation with self-steepening (SS), self-phase modulation (SPM), and group velocity dispersion (GVD), which govern the propagation of solitonic pulses in optical fibres. The proposed algorithm proves the existence of the family of solitons in optical fibers. Consequently, chirped and chirp free W-shaped bright, dark soliton solutions are obtained from dn(ξ), cn(ξ) and sn(ξ) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber.

Original language	English
Pages (from-to)	128-144
Number of pages	17
Journal	Proceedings of the Estonian Academy of Sciences
Volume	72
Issue number	2
DOIs	https://doi.org/10.3176/proc.2023.2.04
Publication status	Published - 2023

Keywords

Jacobi elliptic function method
NLS equation
differential equation
solitons

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Muniyappan, A., Sharmila, M., Priya, E. K., Sumithra, S., Biswas, A., Yıldırım, Y., Aphane, M., Moshokoa, S. P., & Alshehri, H. M. (2023). W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers. Proceedings of the Estonian Academy of Sciences, 72(2), 128-144. https://doi.org/10.3176/proc.2023.2.04

@article{d2ab5de3172c48ac9d15cff5139dac10,

title = "W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schr{\"o}dinger equation in nonlinear optical fibers",

abstract = "In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear Schr{\"o}dinger equation with self-steepening (SS), self-phase modulation (SPM), and group velocity dispersion (GVD), which govern the propagation of solitonic pulses in optical fibres. The proposed algorithm proves the existence of the family of solitons in optical fibers. Consequently, chirped and chirp free W-shaped bright, dark soliton solutions are obtained from dn(ξ), cn(ξ) and sn(ξ) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber.",

keywords = "Jacobi elliptic function method, NLS equation, differential equation, solitons",

author = "Annamalai Muniyappan and Muthuvel Sharmila and Priya, {Elumalai Kaviya} and Sekar Sumithra and Anjan Biswas and Yakup Yıldırım and Maggie Aphane and Moshokoa, {Seithuti P.} and Alshehri, {Hashim M.}",

note = "Publisher Copyright: {\textcopyright} 2023 Authors.",

year = "2023",

doi = "10.3176/proc.2023.2.04",

language = "English",

volume = "72",

pages = "128--144",

journal = "Proceedings of the Estonian Academy of Sciences",

issn = "1736-6046",

publisher = "Estonian Academy Publishers",

number = "2",

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Muniyappan, A, Sharmila, M, Priya, EK, Sumithra, S, Biswas, A, Yıldırım, Y, Aphane, M, Moshokoa, SP & Alshehri, HM 2023, 'W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers', Proceedings of the Estonian Academy of Sciences, vol. 72, no. 2, pp. 128-144. https://doi.org/10.3176/proc.2023.2.04

TY - JOUR

T1 - W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers

AU - Muniyappan, Annamalai

AU - Sharmila, Muthuvel

AU - Priya, Elumalai Kaviya

AU - Sumithra, Sekar

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Aphane, Maggie

AU - Moshokoa, Seithuti P.

AU - Alshehri, Hashim M.

PY - 2023

Y1 - 2023

N2 - In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear Schrödinger equation with self-steepening (SS), self-phase modulation (SPM), and group velocity dispersion (GVD), which govern the propagation of solitonic pulses in optical fibres. The proposed algorithm proves the existence of the family of solitons in optical fibers. Consequently, chirped and chirp free W-shaped bright, dark soliton solutions are obtained from dn(ξ), cn(ξ) and sn(ξ) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber.

AB - In the present investigation, we employed the Jacobi elliptic function (JEF) method to invoke the perturbed nonlinear Schrödinger equation with self-steepening (SS), self-phase modulation (SPM), and group velocity dispersion (GVD), which govern the propagation of solitonic pulses in optical fibres. The proposed algorithm proves the existence of the family of solitons in optical fibers. Consequently, chirped and chirp free W-shaped bright, dark soliton solutions are obtained from dn(ξ), cn(ξ) and sn(ξ) functions. The final results are displayed in three-dimensional plots with specific physical values of GVD, SPM and SS for an optical fiber.

KW - Jacobi elliptic function method

KW - NLS equation

KW - differential equation

KW - solitons

UR - http://www.scopus.com/inward/record.url?scp=85151484970&partnerID=8YFLogxK

U2 - 10.3176/proc.2023.2.04

DO - 10.3176/proc.2023.2.04

M3 - Article

AN - SCOPUS:85151484970

SN - 1736-6046

VL - 72

SP - 128

EP - 144

JO - Proceedings of the Estonian Academy of Sciences

JF - Proceedings of the Estonian Academy of Sciences

IS - 2

ER -

W-shaped chirp free and chirped bright, dark solitons for perturbed nonlinear Schrödinger equation in nonlinear optical fibers

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