Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)

Elsayed M.E. Zayed; Mahmoud El-Horbaty; Mohamed E.M. Alngar; Reham M.A. Shohib; Anjan Biswas; Yakup Yildirim; Luminita Moraru; Catalina Iticescu; Dorin Bibicu; Puiu Lucian Georgescu; Asim Asiri

doi:10.1051/jeos/2023035

Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)

Elsayed M.E. Zayed, Mahmoud El-Horbaty, Mohamed E.M. Alngar, Reham M.A. Shohib, Anjan Biswas, Yakup Yildirim, Luminita Moraru^*, Catalina Iticescu, Dorin Bibicu, Puiu Lucian Georgescu, Asim Asiri

^*Corresponding author for this work

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

27 Citations (Scopus)

Abstract

The parameter dynamics of super-sech and super-Gaussian pulses for the perturbed nonlinear Schrödinger's equation with power-law nonlinearity is obtained in this article. The variational principle successfully recovers this dynamical system. The details of the variational principle with the implementation of the Euler- Lagrange's equation to the nonlinear Schrödinger's equation with power-law of nonlinearity described in this paper have not been previously reported.

Original language	English
Article number	38
Journal	Journal of the European Optical Society-Rapid Publications
Volume	19
Issue number	2
DOIs	https://doi.org/10.1051/jeos/2023035
Publication status	Published - 2023
Externally published	Yes

Keywords

Euler- Lagrange
Perturbation
Solitons
Variational principle

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10.1051/jeos/2023035

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Zayed, E. M. E., El-Horbaty, M., Alngar, M. E. M., Shohib, R. M. A., Biswas, A., Yildirim, Y., Moraru, L., Iticescu, C., Bibicu, D., Lucian Georgescu, P., & Asiri, A. (2023). Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses). Journal of the European Optical Society-Rapid Publications, 19(2), Article 38. https://doi.org/10.1051/jeos/2023035

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abstract = "The parameter dynamics of super-sech and super-Gaussian pulses for the perturbed nonlinear Schr{\"o}dinger's equation with power-law nonlinearity is obtained in this article. The variational principle successfully recovers this dynamical system. The details of the variational principle with the implementation of the Euler- Lagrange's equation to the nonlinear Schr{\"o}dinger's equation with power-law of nonlinearity described in this paper have not been previously reported.",

keywords = "Euler- Lagrange, Perturbation, Solitons, Variational principle",

author = "Zayed, {Elsayed M.E.} and Mahmoud El-Horbaty and Alngar, {Mohamed E.M.} and Shohib, {Reham M.A.} and Anjan Biswas and Yakup Yildirim and Luminita Moraru and Catalina Iticescu and Dorin Bibicu and {Lucian Georgescu}, Puiu and Asim Asiri",

note = "Publisher Copyright: {\textcopyright} The Author(s), published by EDP Sciences, 2023.",

year = "2023",

doi = "10.1051/jeos/2023035",

language = "English",

volume = "19",

journal = "Journal of the European Optical Society-Rapid Publications",

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Zayed, EME, El-Horbaty, M, Alngar, MEM, Shohib, RMA, Biswas, A, Yildirim, Y, Moraru, L, Iticescu, C, Bibicu, D, Lucian Georgescu, P & Asiri, A 2023, 'Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)', Journal of the European Optical Society-Rapid Publications, vol. 19, no. 2, 38. https://doi.org/10.1051/jeos/2023035

TY - JOUR

T1 - Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)

AU - Zayed, Elsayed M.E.

AU - El-Horbaty, Mahmoud

AU - Alngar, Mohamed E.M.

AU - Shohib, Reham M.A.

AU - Biswas, Anjan

AU - Yildirim, Yakup

AU - Moraru, Luminita

AU - Iticescu, Catalina

AU - Bibicu, Dorin

AU - Lucian Georgescu, Puiu

AU - Asiri, Asim

PY - 2023

Y1 - 2023

N2 - The parameter dynamics of super-sech and super-Gaussian pulses for the perturbed nonlinear Schrödinger's equation with power-law nonlinearity is obtained in this article. The variational principle successfully recovers this dynamical system. The details of the variational principle with the implementation of the Euler- Lagrange's equation to the nonlinear Schrödinger's equation with power-law of nonlinearity described in this paper have not been previously reported.

AB - The parameter dynamics of super-sech and super-Gaussian pulses for the perturbed nonlinear Schrödinger's equation with power-law nonlinearity is obtained in this article. The variational principle successfully recovers this dynamical system. The details of the variational principle with the implementation of the Euler- Lagrange's equation to the nonlinear Schrödinger's equation with power-law of nonlinearity described in this paper have not been previously reported.

KW - Euler- Lagrange

KW - Perturbation

KW - Solitons

KW - Variational principle

UR - http://www.scopus.com/inward/record.url?scp=85166468874&partnerID=8YFLogxK

U2 - 10.1051/jeos/2023035

DO - 10.1051/jeos/2023035

M3 - Article

AN - SCOPUS:85166468874

SN - 1990-2573

VL - 19

JO - Journal of the European Optical Society-Rapid Publications

JF - Journal of the European Optical Society-Rapid Publications

IS - 2

M1 - 38

ER -

Dynamical system of optical soliton parameters by variational principle (super-Gaussian and super-sech pulses)

Abstract

Keywords

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