Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls

We investigate the magnetization dynamics in soft ferromagnetic films with small damping. In this case, the gyrotropic nature of Landau–Lifshitz–Gilbert dynamics and the shape anisotropy effects from stray-field interactions effectively lead to a wave-type dynamics for the in-plane magnetization. We apply this result to study the motion of Neel walls in thin films and prove the existence of a travelling wave solution under a small constant forcing.

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