Scattering of Topological Solitons on Barriers and Holes of Deformed Sine-Gordon Models

dc.creatorAl-Alawi, Jassem H.
dc.creatorZakrzewski, Wojtek J.
dc.date2008-02-13
dc.date.accessioned2026-07-07T11:40:16Z
dc.date.available2026-07-07T11:40:16Z
dc.descriptionWe study scattering properties of topological solitons in two classes of models, which are generalizations of the Sine-Gordon model and which have recently been proposed by Bazeia et al. These two classes of models depend on an integer parameter n which, when n=2(for the first class) and n=1 (for the second class), reduce to the Sine-Gordon model. We take the soliton solutions of these models (generalizations of the 'kink' solution of the Sine-Gordon model) and consider their scattering on potential holes and barriers. We present our results for n=1,...6. We find that, like in the Sine Gordon models, the scattering on the barrier is very elastic while the scattering on the hole is inelastic and can at times, lead to a reflection. We discuss the dependence of our results on n and find that the critical velocity for the transmission through the hole is lowest for n=3.
dc.description16 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/0802.1939
dc.identifierhttp://arxiv.org/abs/0802.1939
dc.identifierJ.Phys.A41:315206,2008
dc.identifierdoi:10.1088/1751-8113/41/31/315206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200205
dc.subjectHigh Energy Physics - Theory
dc.titleScattering of Topological Solitons on Barriers and Holes of Deformed Sine-Gordon Models
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