Dispersive optical solitons with DWDM topology and multiplicative white noise

Elsayed M.E. Zayed; Reham M.A. Shohib; Mohamed E.M. Alngar; Anjan Biswas; Yakup Yıldırım; Luminita Moraru; Catalina Iticescu; Simona Moldovanu; Dorin Bibicu; Abdulah A. Alghamdi

Results in Physics (Aug 2023)

Dispersive optical solitons with DWDM topology and multiplicative white noise

Elsayed M.E. Zayed,
Reham M.A. Shohib,
Mohamed E.M. Alngar,
Anjan Biswas,
Yakup Yıldırım,
Luminita Moraru,
Catalina Iticescu,
Simona Moldovanu,
Dorin Bibicu,
Abdulah A. Alghamdi

Affiliations

Elsayed M.E. Zayed: Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Reham M.A. Shohib: Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Cairo 379, Egypt
Mohamed E.M. Alngar: Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Cairo 11585, Egypt
Anjan Biswas: Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA; Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia; 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 Yıldırım: Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey; Corresponding authors.
Luminita Moraru: Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania; Corresponding authors.
Catalina Iticescu: Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania
Simona Moldovanu: Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Dorin Bibicu: Department of Business Administration, Faculty of Economics and Business Administration, Dunarea de Jos University of Galati, 59–61 Nicolae Balcescu Street, 800001 Galati, Romania
Abdulah A. Alghamdi: Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Journal volume & issue: Vol. 51
p. 106723

Abstract

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The primary objective of this research is to investigate and analyze the intricate dynamics exhibited by dispersive optical soliton solutions within dispersion-flattened fibers while considering the impact of white noise. By examining this phenomenon, the study aims to gain a comprehensive understanding of the behavior and characteristics of these solitons, which are essential in the field of optical communication. A wide range of soliton solutions is obtained by the extended auxiliary equation procedure and the unified Riccati equation scheme, which are two powerful methods employed in the field of nonlinear dynamics and soliton theory to obtain a diverse array of soliton solutions. These techniques enable researchers to explore and analyze a wide range of complex nonlinear phenomena in various physical systems. This wide range of soliton solutions contributes to a deeper understanding of nonlinear phenomena and provides valuable insights into the fundamental properties and applications of solitons in different areas of science and engineering, including optics, fluid dynamics, plasma physics, and condensed matter physics. White noise only affects the phase part of the solitons and does not spread to other components. Such conclusions are applicable only under the specific transformation and the special simplification employed in deriving the solutions in the paper. The existence of white noise does not change the soliton amplitudes, widths, or velocities in any component. This paper is the first to report an essential observation concerning dispersion-flattened fibers, which has never been reported before.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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