Abstract
A type of solitary wave in a ferromagnet is found by a multiscale expansion method; it obeys the completely integrable Korteweg-de Vries equation. The interaction between a wave of this propagation mode and another known mode that also allows soliton propagation is studied. The equations describing the interaction are derived using a multiscale expansion method and then reduced to an integral form, and solved explicitly for particular initial data for which one of the waves can be considered as a soliton. A phase shift of this soliton appears. Transmission and reflection coefficients are computed for the second wave.
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