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The analytical model is developed for description of skyrmions andskyrmion-like magnetic structures in a two-sublattice antiferromagnet withuniaxial magnetic anisotropy and Dzyaloshinskii-Moriya interaction.Relativistic contraction of skyrmion size in the direction of motion isdemonstrated for subcritical case when the skyrmion velocity is less than spinwave velocity in antiferromagnet. Lorentz-like supercritical transformation arefound for skyrmion-like magnetic structures moving with velocity greater thanspin wave velocity in antiferromagnet.

3D Analytical Model of Skyrmions and Skyrmion-like Structures in a Two-sublattice Antiferromagnet with Dzyaloshinskii-Moriya Interaction