Internal oscillations of solitons in ferromagnets on a cylinder in an axial magnetic field

Analysis of the small amplitude oscillations around the structure of solitons in ferromagnets on a cylinder in an external axial magnetic field shows the presence of a localized mode. The local mode has a well-defined frequency determined by the strength of the magnetic field and by the cylinder radius. It may be possible to observe this mode through resonance experiments for cylindrically wrapped thin films of magnetic materials with a finite density of solitons.