Variational analysis of soliton scattering by external potentials

Umarov, Bakhram and Messikh, Azeddin and Regaa, Nassima and Bayzakov, Bakhtiyor (2013) Variational analysis of soliton scattering by external potentials. Journal of Physics: Conference Series, 435 (012024). 012024-1. ISSN 1742-6588 (P), 1742-6596 (O)

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Abstract

Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of the spatial domain is sufficient for adequate description of the soliton scattering process. The validity of the developed approach is illustrated for the Gaussian and P¨oschl-Teller potentials.

Item Type:	Article (Journal)
Additional Information:	3938/30833
Uncontrolled Keywords:	Quantum gases, liquids and solids Mathematical physics Statistical physics and nonlinear systems
Subjects:	Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	Dr Bakhram Umarov
Date Deposited:	06 Aug 2013 08:46
Last Modified:	06 Aug 2013 08:46
URI:	http://irep.iium.edu.my/id/eprint/30833

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