International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 11, Issue 11 (November 2024), Pages: 142-155

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 Original Research Paper

Dynamics of dark solitons in optical fibers governed by cubic-quintic discrete nonlinear Schrödinger equations

 Author(s): 

 Haves Qausar 1, Marwan Ramli 2, *, Said Munzir 2, Mahdhivan Syafwan 3

 Affiliation(s):

 1Graduate School of Mathematics and Applied Sciences, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia
 2Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Syiah Kuala, Banda Aceh 23111, Indonesia
 3Department of Mathematics, Universitas Andalas, Padang 25163, Indonesia

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0003-1225-9063

 Digital Object Identifier (DOI)

 https://doi.org/10.21833/ijaas.2024.11.015

 Abstract

This study investigates the dynamics of dark solitons and energy distribution in electromagnetic waves propagating through optical fibers, focusing on the impact of key parameters on energy retention. While previous research has emphasized frequency and dispersion, this work also examines the effect of attenuation on soliton behavior. The energy distribution is analyzed using Hamiltonian dynamics derived from the cubic-quintic discrete nonlinear Schrödinger (CQ DNLS) equation, with stationary solutions obtained via the Trust Region Dogleg method and the fourth-order Runge-Kutta (RK4) method used for dynamic simulations. Results reveal that frequency and dispersion parameters enhance wave amplitude and energy, whereas high attenuation significantly reduces wave intensity and energy during propagation. Balancing these effects is critical for maintaining energy stability and providing insights into material selection for optical fibers with low attenuation properties.

 © 2024 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords

 Dark solitons, Optical fibers, Energy distribution, Attenuation effects, Hamiltonian dynamics

 Article history

 Received 17 July 2023, Received in revised form 23 December 2023, Accepted 30 October 2024

 Acknowledgment

The authors extend their gratitude to PMDSU Scholarship.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Qausar H, Ramli M, Munzir S, and Syafwan M (2024). Dynamics of dark solitons in optical fibers governed by cubic-quintic discrete nonlinear Schrödinger equations. International Journal of Advanced and Applied Sciences, 11(11): 142-155

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 Figures

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 Tables

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