Domain wall motion damped by the emission of spin waves

The domain wall motion of field-driven transverse domain walls in biaxial ferromagnets is investigated by solving the Landau-Lifshitz-Gilbert equation. It is demonstrated that with increasing easy-plane or hard-axis anisotropy Dₕ different types of domain wall motion occur. The different scenarios correspond to different velocity equations. In the limit of absent hard-axis anisotropy (Dₕ/J=0) a precessional domain wall motion can be found while for Dₕ/J≠0 a steady domain wall motion interrupted by a Walker breakdown at high fields prevails. In the limit of huge anisotropies (Dₕ/J⪢0) a domain wall motion damped by emission of spin waves occurs. The connection between magnetic systems and the theory of solitons is discussed.