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Dynamics of two-soliton molecule with impurities

A soliton is the result of a delicate balance between dispersion-induced pulse self-broadening and nonlinearity-induced pulse self-narrowing, which brings in a constant propagation of the wave form and velocity. Additionally, soliton molecules are stable bound states that develop from two anti-phase...

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Main Authors:	Busul Aklan, Nor Amirah, Muhammad Husairi, Nur Fatin Ikhwani, Samiun, Anis Sulaikha, Umarov, Bakhram A.
Format:	Article
Language:	English
Published:	Malaysian Mathematical Science Society (PERSAMA) 2023
Subjects:	QA Mathematics QA297 Numerical Analysis QC Physics T Technology (General) T10.5 Communication of technical information
Online Access:	http://irep.iium.edu.my/108628/7/108628_Dynamics%20of%20two-soliton%20molecule%20with%20impurities.pdf http://irep.iium.edu.my/108628/ https://myjms.mohe.gov.my/index.php/dismath/article/view/23018/12623
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spelling	my.iium.irep.1086282023-12-07T00:58:01Z http://irep.iium.edu.my/108628/ Dynamics of two-soliton molecule with impurities Busul Aklan, Nor Amirah Muhammad Husairi, Nur Fatin Ikhwani Samiun, Anis Sulaikha Umarov, Bakhram A. QA Mathematics QA297 Numerical Analysis QC Physics T Technology (General) T10.5 Communication of technical information A soliton is the result of a delicate balance between dispersion-induced pulse self-broadening and nonlinearity-induced pulse self-narrowing, which brings in a constant propagation of the wave form and velocity. Additionally, soliton molecules are stable bound states that develop from two anti-phase bright solitons in a dipolar Bose-Einstein condensate, which represents another significant advance in the field. The behaviour of the two-soliton molecule of the nonlinear Schrödinger equation (NLSE) in the context of delta potential has been studied in this paper. Interaction of the solitons with the external potential will affect not only the speed, as classical particles do, but also the soliton’s properties and its physical locations. This work seeks to resolve the non-integrable perturbed NLSE of the two-soliton molecule analytically using the variational approximation method (VAM). VAM gives dynamical equations for the parameters of the soliton in the form of ordinary differential equations, and it only creates approximation results. The accuracy of the results is checked numerically by direct numerical simulation. The split-step approach and Fast Fourier Transform are two coding techniques used in the direct numerical simulation method to assist in issue solving. The results indicated that, the two-soliton molecule may be reflected, transmitted through, or trapped within the external potential depending on the different potential strength. Malaysian Mathematical Science Society (PERSAMA) 2023-07-05 Article PeerReviewed application/pdf en http://irep.iium.edu.my/108628/7/108628_Dynamics%20of%20two-soliton%20molecule%20with%20impurities.pdf Busul Aklan, Nor Amirah and Muhammad Husairi, Nur Fatin Ikhwani and Samiun, Anis Sulaikha and Umarov, Bakhram A. (2023) Dynamics of two-soliton molecule with impurities. Menemui Matematik (Discovering Mathematics), 45 (1). pp. 112-123. ISSN 0126-9003 https://myjms.mohe.gov.my/index.php/dismath/article/view/23018/12623
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) T10.5 Communication of technical information
spellingShingle	QA Mathematics QA297 Numerical Analysis QC Physics T Technology (General) T10.5 Communication of technical information Busul Aklan, Nor Amirah Muhammad Husairi, Nur Fatin Ikhwani Samiun, Anis Sulaikha Umarov, Bakhram A. Dynamics of two-soliton molecule with impurities
description	A soliton is the result of a delicate balance between dispersion-induced pulse self-broadening and nonlinearity-induced pulse self-narrowing, which brings in a constant propagation of the wave form and velocity. Additionally, soliton molecules are stable bound states that develop from two anti-phase bright solitons in a dipolar Bose-Einstein condensate, which represents another significant advance in the field. The behaviour of the two-soliton molecule of the nonlinear Schrödinger equation (NLSE) in the context of delta potential has been studied in this paper. Interaction of the solitons with the external potential will affect not only the speed, as classical particles do, but also the soliton’s properties and its physical locations. This work seeks to resolve the non-integrable perturbed NLSE of the two-soliton molecule analytically using the variational approximation method (VAM). VAM gives dynamical equations for the parameters of the soliton in the form of ordinary differential equations, and it only creates approximation results. The accuracy of the results is checked numerically by direct numerical simulation. The split-step approach and Fast Fourier Transform are two coding techniques used in the direct numerical simulation method to assist in issue solving. The results indicated that, the two-soliton molecule may be reflected, transmitted through, or trapped within the external potential depending on the different potential strength.
format	Article
author	Busul Aklan, Nor Amirah Muhammad Husairi, Nur Fatin Ikhwani Samiun, Anis Sulaikha Umarov, Bakhram A.
author_facet	Busul Aklan, Nor Amirah Muhammad Husairi, Nur Fatin Ikhwani Samiun, Anis Sulaikha Umarov, Bakhram A.
author_sort	Busul Aklan, Nor Amirah
title	Dynamics of two-soliton molecule with impurities
title_short	Dynamics of two-soliton molecule with impurities
title_full	Dynamics of two-soliton molecule with impurities
title_fullStr	Dynamics of two-soliton molecule with impurities
title_full_unstemmed	Dynamics of two-soliton molecule with impurities
title_sort	dynamics of two-soliton molecule with impurities
publisher	Malaysian Mathematical Science Society (PERSAMA)
publishDate	2023
url	http://irep.iium.edu.my/108628/7/108628_Dynamics%20of%20two-soliton%20molecule%20with%20impurities.pdf http://irep.iium.edu.my/108628/ https://myjms.mohe.gov.my/index.php/dismath/article/view/23018/12623
_version_	1784585447433830400
score	13.211869

Dynamics of two-soliton molecule with impurities

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