Quiescent optical solitons in magneto–optic waveguides having Kudryashov's quintuple power–law of self–phase modulation

Elsayed M.E. Zayed; Mona El–Shater; Ahmed M. Elsherbeny; Ahmed H. Arnous; Anjan Biswas; Yakup Yildirim; Puiu Lucian Georgescu; Luminita Moraru; Anwar Ja'afar Mohamad Jawad; Layth Hussein

Ain Shams Engineering Journal (Feb 2025)

Quiescent optical solitons in magneto–optic waveguides having Kudryashov's quintuple power–law of self–phase modulation

Elsayed M.E. Zayed,
Mona El–Shater,
Ahmed M. Elsherbeny,
Ahmed H. Arnous,
Anjan Biswas,
Yakup Yildirim,
Puiu Lucian Georgescu,
Luminita Moraru,
Anwar Ja'afar Mohamad Jawad,
Layth Hussein

Affiliations

Elsayed M.E. Zayed: Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Mona El–Shater: Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Ahmed M. Elsherbeny: Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt
Ahmed H. Arnous: Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El–Shorouk Academy, Cairo, Egypt
Anjan Biswas: Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA; Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa
Yakup Yildirim: Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey; Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
Puiu Lucian Georgescu: Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania; Corresponding author.
Luminita Moraru: Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania; Department of Physics, School of Science and Technology, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
Anwar Ja'afar Mohamad Jawad: Department of Computer Technical Engineering, Al–Rafidain University College, Baghdad–10064, Iraq
Layth Hussein: Department of Computers Techniques Engineering, College of Technical Engineering, The Islamic University, Najaf, Iraq; Department of Computers Technique Engineering, College of Technical Engineering, The Islamic University of Al Diwaniyah, Al Diwaniyah, Iraq; Department of Computers Techniques Engineering, College of Technical Engineering, The Islamic University of Babylon, Babylon, Iraq

Journal volume & issue: Vol. 16, no. 2
p. 103260

Abstract

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This paper investigates the propagation of quiescent optical solitons in magneto-optic waveguides governed by Kudryashov's quintuple power-law of self-phase modulation, incorporating generalized temporal evolution and nonlinear chromatic dispersion. The governing model accounts for the interplay between higher-order nonlinear effects and dispersive properties, which are essential for understanding the complex dynamics of light in structured optical media. To obtain exact soliton solutions, we employ the direct algebraic method and an advanced version of the sub-ODE approach, providing a robust analytical framework for recovering a wide spectrum of soliton profiles. The derived solutions include bright, dark, and singular soliton structures. Additionally, numerical simulations are conducted to verify and illustrate the physical relevance of the analytical results, demonstrating the stability and dynamical behavior of the solitons under varying parametric conditions. The findings contribute to the theoretical foundation of magneto-optic waveguide systems and offer potential applications in advanced photonic technologies and optical communication systems.

Published in Ain Shams Engineering Journal

ISSN: 2090-4479 (Print); 2090-4495 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/ain-shams-engineering-journal/

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