Interaction of topological solitons with defects: using a nontrivial metric

Abstract

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.

arXiv comment10 pages, 11 figures

References in corpus (1)

• Scattering of topological solitons on holes and barriers

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