  We theoretically investigate the dynamics of solitons in two sublattice
antiferromagnets under external perturbations, focusing on the effect of
Dzyaloshinsky-Moriya (DM) interactions. To this end, we construct a
micromagnetic field theory for the antiferromagnet in the presence of the
external magnetic field, DM interaction, and spin-transfer torque. In
particular, we show external magnetic field and spin current couple to N\'eel
vector in a Zeeman-like manner when DM interactions present, which can be used
to efficiently drive antiferromagnetic solitons of different dimensions.
Besides, we study the effect of straining the local lattice. It can serve as an
external handle on the N\'eel field inertia and thus dynamical properties. Our
findings may find applications in antiferromagnetic spintronics.
