Interaction of Topological solitons with defects: Collective coordinate method

Abstract

By including a potential into the flat metric, we study the interaction of sine-Gordon soliton with different 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 radiate energy. Also for narrow windows of initial velocity, soliton reflects back from a potential well.