Filin D. Localized dynamic topological solitons in two-dimensional anisotropic magnets

The thesis is devoted to the theoretical investigation of localized dynamic topological solitons in two-dimensional (2-D) anisotropic magnets. The structure of rotational solitons small and large sizes were analyzed in a 2-D ferromagnet. It was shown, that even if the anisotropy in the base plane of a ferromagnet is not small, the small solitons have a centrally symmetric shape. In the another case of large size solitons situation is reversed: even in the isotropic base plane of a ferromagnet rotational solitons lose their centrally symmetric shape. It's looking as spontaneous breaking symmetry at the some soliton sizes. So in the thesis contribution of some small two-parameter precession solitons to the dynamic structure factor of 2-D ferro- and antiferromagnets is calculated. Taken into account the impact of the limited lifetime of metastable solitons.