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We theoretically investigate the dynamics of solitons in two sublatticeantiferromagnets under external perturbations, focusing on the effect ofDzyaloshinsky-Moriya (DM) interactions. To this end, we construct amicromagnetic field theory for the antiferromagnet in the presence of theexternal magnetic field, DM interaction, and spin-transfer torque. Inparticular, we show external magnetic field and spin current couple to N\'eelvector in a Zeeman-like manner when DM interactions present, which can be usedto efficiently drive antiferromagnetic solitons of different dimensions.Besides, we study the effect of straining the local lattice. It can serve as anexternal handle on the N\'eel field inertia and thus dynamical properties. Ourfindings may find applications in antiferromagnetic spintronics.

Zeeman term for the N\'eel vector in a two sublattice antiferromagnet using Dzyaloshinsky-Moriya interaction and magnetic field