Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential

Nonlinear Schrodinger equation (NLSE) is the fundamental equation which describes the wave field envelope dynamics in a nonlinear and dispersive medium. However, if the fields have many components, one should consider the Coupled Nonlinear Schrodinger equation (CNLSE). We considered the interacti...

Full description

Bibliographic Details
Main Authors:	Mat Din, Mohd Azid, Umarov, Bakhram A., Mohd Busul Aklan, Nor Amirah Busul, Abdul Hadi, Muhammad Salihi, Ismail, Nazmi Hakim
Format:	Conference or Workshop Item
Language:	English
Published:	Malaysian Journal of Fundamental and Applied Sciences 2019
Subjects:	QA Mathematics QC Physics
Online Access:	http://irep.iium.edu.my/77000/ http://irep.iium.edu.my/77000/1/77000_Scattering%20of%20The%20Vector%20Soliton%20in%20Coupled_complete.pdf

id	iium-77000
recordtype	eprints
spelling	iium-770002020-01-10T09:13:38Z http://irep.iium.edu.my/77000/ Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential Mat Din, Mohd Azid Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Busul Abdul Hadi, Muhammad Salihi Ismail, Nazmi Hakim QA Mathematics QC Physics Nonlinear Schrodinger equation (NLSE) is the fundamental equation which describes the wave field envelope dynamics in a nonlinear and dispersive medium. However, if the fields have many components, one should consider the Coupled Nonlinear Schrodinger equation (CNLSE). We considered the interactions of orthogonally polarized and equal-amplitude vector solitons with two polarization directions. In this paper, we have been focussed on the effect of Gaussian potential on the scattering of the vector soliton in CNLSE. The scattering process was investigated by the variational approximation method and direct numerical solution of CNLSE. Analytically, we analysed the dynamics of the width and center of mass position of a soliton by the variational approximation method. Soliton may be reflected from each other or transmitted through or trapped. Initially, uncoupled solitons may form the coupled state if the kinetic energy of solitons less than the potential of attractive interaction between solitons but when its’ velocity (kinetic energy) above the critical velocity, the soliton will pass through each other easily. Meanwhile, a direct numerical simulation of CNLSE had been run to check the accuracy of the approximation. The result of the variational model will give a slightly similar pattern with direct numerical simulation of CNLSE by fixing the parameters for both solutions with the same value. The interaction of the vector soliton with Gaussian potential depends on the initial velocity and amplitude of the soliton and the strength of the external potential. Malaysian Journal of Fundamental and Applied Sciences 2019-08 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/77000/1/77000_Scattering%20of%20The%20Vector%20Soliton%20in%20Coupled_complete.pdf Mat Din, Mohd Azid and Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah Busul and Abdul Hadi, Muhammad Salihi and Ismail, Nazmi Hakim (2019) Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential. In: Workshop on Dynamical Systems and Their Applications in Mathematical Physics, Engineering, and Economics 2019 (WDS 2019), 26th-28th August 2019, Kuantan, Pahang. (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Mat Din, Mohd Azid Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Busul Abdul Hadi, Muhammad Salihi Ismail, Nazmi Hakim Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential
description	Nonlinear Schrodinger equation (NLSE) is the fundamental equation which describes the wave field envelope dynamics in a nonlinear and dispersive medium. However, if the fields have many components, one should consider the Coupled Nonlinear Schrodinger equation (CNLSE). We considered the interactions of orthogonally polarized and equal-amplitude vector solitons with two polarization directions. In this paper, we have been focussed on the effect of Gaussian potential on the scattering of the vector soliton in CNLSE. The scattering process was investigated by the variational approximation method and direct numerical solution of CNLSE. Analytically, we analysed the dynamics of the width and center of mass position of a soliton by the variational approximation method. Soliton may be reflected from each other or transmitted through or trapped. Initially, uncoupled solitons may form the coupled state if the kinetic energy of solitons less than the potential of attractive interaction between solitons but when its’ velocity (kinetic energy) above the critical velocity, the soliton will pass through each other easily. Meanwhile, a direct numerical simulation of CNLSE had been run to check the accuracy of the approximation. The result of the variational model will give a slightly similar pattern with direct numerical simulation of CNLSE by fixing the parameters for both solutions with the same value. The interaction of the vector soliton with Gaussian potential depends on the initial velocity and amplitude of the soliton and the strength of the external potential.
format	Conference or Workshop Item
author	Mat Din, Mohd Azid Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Busul Abdul Hadi, Muhammad Salihi Ismail, Nazmi Hakim
author_facet	Mat Din, Mohd Azid Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Busul Abdul Hadi, Muhammad Salihi Ismail, Nazmi Hakim
author_sort	Mat Din, Mohd Azid
title	Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential
title_short	Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential
title_full	Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential
title_fullStr	Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential
title_full_unstemmed	Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential
title_sort	scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential
publisher	Malaysian Journal of Fundamental and Applied Sciences
publishDate	2019
url	http://irep.iium.edu.my/77000/ http://irep.iium.edu.my/77000/1/77000_Scattering%20of%20The%20Vector%20Soliton%20in%20Coupled_complete.pdf
first_indexed	2023-09-18T21:48:42Z
last_indexed	2023-09-18T21:48:42Z
_version_	1777413623988092928

Scattering of the vector soliton in coupled nonlinear schrodinger equation with gaussian potential

Similar Items