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Analytical investigation of nonlinear dynamics of soliton transmission in discrete system under self-induced regime

Mohd Busul Aklan, Nor Amirah and Samiun, Anis Sulaikha and Umarov, Bakhram (2025) Analytical investigation of nonlinear dynamics of soliton transmission in discrete system under self-induced regime. Journal of Engineering Technology and Applied Physics, 7 (2). pp. 59-64. E-ISSN 2682-8383

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Abstract

This study investigates the soliton propagation in a one-dimensional discrete system characterized by the Discrete Nonlinear Schrödinger Equation (DNLSE). The DNLSE is a fundamental model in wave phenomena, encompassing a broad spectrum of physical systems ranging from optics to fluid dynamics. The analytical study employs the variational approximation (VA) method to thoroughly examine the process and essential parameters governing soliton evolutions, such as width, center-of-mass position, and linear and quadratic phase-front corrections are determined and graphically interpreted. The results show that an increase in linear phase-front correction corresponds to an increase in both the soliton’s initial velocity and propagation distance

Item Type: Article (Journal)
Uncontrolled Keywords: Discrete soliton, Nonlinear Schrödinger equation, Discrete system, Nonlinear partial differential equation, Variational approximation method
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA297 Numerical Analysis
Q Science > QC Physics
T Technology > T Technology (General) > T55.4 Industrial engineering.Management engineering. > T57 Applied mathematics. Quantitative methods. Operation research. System analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr Nor Amirah Mohd Busul Aklan
Date Deposited: 23 Sep 2025 17:09
Last Modified: 23 Sep 2025 17:09
URI: http://irep.iium.edu.my/id/eprint/123328

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