Dynamical properties of a Soliton in a Potential Well

Details Dynamical properties of a Soliton in a Potential Well Dynamical properties of a Soliton in a Potential Well

2006-10-09

arxiv.org/abs/hep-th/0610095v1

J.Phys.A40:329-346,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 27 figures

Scientific paper

10.1088/1751-8113/40/2/011

We analyse the scattering of a two-dimensional soliton on a potential well. We show that this soliton can pass through the well, bounce back or become trapped and we study the dependence of the critical velocity on the width and the depth of the well. We also present a model based on a pseudo-geodesic approximation to the full system which shows that the vibrational modes of the soliton play a crucial role in the dynamical properties of its interactions with potential wells.

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