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Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis

In a nonlinear dispersive medium, a soliton is a large-amplitude pulse excitation that can propagate with constant form and velocity which maintains its original shape. The emergence of a soliton is the result of a delicate balance between dispersion-induced pulse self-broadening and nonlinearity-in...

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Main Authors: Mohd Busul Aklan, Nor Amirah, Ramli, Nor Nadira Amani, Umarov, Bakhram A.
Format: Article
Language:English
Published: IIUM Press 2022
Subjects:
QA Mathematics
QA297 Numerical Analysis
QC Physics
T Technology (General)
T57 Applied mathematics. Quantitative methods. Operation research. System analysis
Online Access:http://irep.iium.edu.my/108636/1/108636_Gaussian%20function%20on%20soliton%20scattering.pdf
http://irep.iium.edu.my/108636/
https://journals.iium.edu.my/ktn/index.php/ijohs/issue/view/9
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spelling my.iium.irep.1086362023-12-08T01:50:09Z http://irep.iium.edu.my/108636/ Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis Mohd Busul Aklan, Nor Amirah Ramli, Nor Nadira Amani Umarov, Bakhram A. QA Mathematics QA297 Numerical Analysis QC Physics T Technology (General) T57 Applied mathematics. Quantitative methods. Operation research. System analysis In a nonlinear dispersive medium, a soliton is a large-amplitude pulse excitation that can propagate with constant form and velocity which maintains its original shape. The emergence of a soliton is the result of a delicate balance between dispersion-induced pulse self-broadening and nonlinearity-induced pulse self-narrowing. Critically, the realisation of this equilibrium depends on the form of nonlinearity. Solitons can be excited in a broad range of physical structures, including water waves, plasma, optical fibre, spin waves, deoxyribonucleic acid, and ultra-cold atoms. Previous research studies inspire us to study soliton more thoroughly by expanding the NLSE form to a more generalised version. This research also investigates the effect of the potential towards soliton alongside the propagation of the wave. Analytical and numerical methods are applied to solve the Cubic-Quintic Nonlinear Schrödinger Equation in order to achieve the objectives of this analysis. The Variational Approximation Method (VAM) is applied to calculate the soliton parameters equations during the scattering process once the soliton is originally far from the potential. Direct numerical simulations are used to verify the accuracy of the soliton approximation results from VAM. The findings revealed that relying on the soliton’s initial velocity and potential strength, the soliton can be transmitted through, damaged, or reflected by potentials. IIUM Press 2022-01-19 Article PeerReviewed application/pdf en http://irep.iium.edu.my/108636/1/108636_Gaussian%20function%20on%20soliton%20scattering.pdf Mohd Busul Aklan, Nor Amirah and Ramli, Nor Nadira Amani and Umarov, Bakhram A. (2022) Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis. IIUM Journal of Orofacial and Health Sciences, 3 (Suppl. 1). p. 18. E-ISSN 2735-0584 https://journals.iium.edu.my/ktn/index.php/ijohs/issue/view/9 10.31436/ijohs.v3iSupplement%201
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
QA297 Numerical Analysis
QC Physics
T Technology (General)
T57 Applied mathematics. Quantitative methods. Operation research. System analysis
spellingShingle QA Mathematics
QA297 Numerical Analysis
QC Physics
T Technology (General)
T57 Applied mathematics. Quantitative methods. Operation research. System analysis
Mohd Busul Aklan, Nor Amirah
Ramli, Nor Nadira Amani
Umarov, Bakhram A.
Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis
description In a nonlinear dispersive medium, a soliton is a large-amplitude pulse excitation that can propagate with constant form and velocity which maintains its original shape. The emergence of a soliton is the result of a delicate balance between dispersion-induced pulse self-broadening and nonlinearity-induced pulse self-narrowing. Critically, the realisation of this equilibrium depends on the form of nonlinearity. Solitons can be excited in a broad range of physical structures, including water waves, plasma, optical fibre, spin waves, deoxyribonucleic acid, and ultra-cold atoms. Previous research studies inspire us to study soliton more thoroughly by expanding the NLSE form to a more generalised version. This research also investigates the effect of the potential towards soliton alongside the propagation of the wave. Analytical and numerical methods are applied to solve the Cubic-Quintic Nonlinear Schrödinger Equation in order to achieve the objectives of this analysis. The Variational Approximation Method (VAM) is applied to calculate the soliton parameters equations during the scattering process once the soliton is originally far from the potential. Direct numerical simulations are used to verify the accuracy of the soliton approximation results from VAM. The findings revealed that relying on the soliton’s initial velocity and potential strength, the soliton can be transmitted through, damaged, or reflected by potentials.
format Article
author Mohd Busul Aklan, Nor Amirah
Ramli, Nor Nadira Amani
Umarov, Bakhram A.
author_facet Mohd Busul Aklan, Nor Amirah
Ramli, Nor Nadira Amani
Umarov, Bakhram A.
author_sort Mohd Busul Aklan, Nor Amirah
title Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis
title_short Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis
title_full Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis
title_fullStr Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis
title_full_unstemmed Gaussian function on soliton scattering of generalized Nonlinear Schrödinger Equation: variational analysis
title_sort gaussian function on soliton scattering of generalized nonlinear schrödinger equation: variational analysis
publisher IIUM Press
publishDate 2022
url http://irep.iium.edu.my/108636/1/108636_Gaussian%20function%20on%20soliton%20scattering.pdf
http://irep.iium.edu.my/108636/
https://journals.iium.edu.my/ktn/index.php/ijohs/issue/view/9
_version_ 1787131891460079616
score 13.211869

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