Abstract
Abstract We present the analytical solutions of the sine–Gordon model for magnetic solitons in a field of nonlocalized spin waves. We show, that nonlinear interference of solitons and waves leads to oscillations of solitons, relaxing with time in a power-law fashion. We study an interaction of the solitons with the running spin waves of the system: we find the expressions for the velocities and frequencies of the kinks and the breathers in the field of radiation.
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