%0 Journal Article %T Interaction of topological solitons with defects: using a nontrivial metric %A Kurosh Javidan %J Mathematics %D 2006 %I arXiv %R 10.1088/0305-4470/39/33/022 %X By including potential into the flat metric, we study interaction of sine-Gordon soliton with potentials. We will show numerically that while the soliton-barrier system shows fully classical behaviour, the soliton-well system demonstrates non-classical behaviour. In particular, solitons with low velocities are trapped in the well and emit energy radiation. %U http://arxiv.org/abs/hep-th/0604062v2