Abstract
Exact solutions of the Landau – Lifshitz equation are found for a ferromagnet with the easy-axis anisotropy. These solutions describe the interaction of a nonlinear magnetization wave of arbitrary amplitude with solitons, such as breathers, solitary domains and domain walls. The change of the internal structure and physical parameters of the solitons caused by their interaction with the magnetization wave is analyzed. The conditions for the destruction of the solitons by the wave are obtained.
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