The nonlinear internal dynamics of one-dimensional topological magnetic solitons in antiferromagnets were studied theoretically, taking into consideration their real magnetic symmetry. The presence of the Dzyaloshinskii–Moriya interaction, which can lead to the appearance of weak non-collinearity of the antiferromagnet sublattices, results in a lowering in the dynamic symmetry of the magnet. As a consequence, there appear the effects of lowering the symmetry of the soliton with internal precession dynamics: precession of the spins becomes inhomogeneous in time and it is accompanied by oscillations of the soliton center. In a certain frequency range, the effects of short-wave magnon radiation are also possible.
The motion of domain walls in ferrimagnets near the sublattice spin compensation point is studied theoretically, when there is an exchange enhancement in the limiting velocity of the wall. Nonlinear regimes of high-velocity nonstationary wall motion are found. A magnet parameter region in which the collective variable approach is invalid, is detected. In this region, the wall motion is accompanied by the periodic appearance of instability with respect to the increase in spin oscillations inside the domain wall.
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