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We present a numerical simulation of the scattering of a topological soliton off finite-size attractive impurities, repulsive impurities, and a combination of both. The attractive and attractive-repulsive cases show similar features to those found for {δ}-function-type impurities. For the repulsive case, corresponding to a finite width barrier, the soliton behaves completely classically. No tunneling occurs for sub-barrier kinetic energies despite the extended nature of the soliton.
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G. Kälbermann (1997) studied this question.
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