  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.
