  Skyrmions in antiferromagnetic (AFM) materials with the Dzyaloshinskii-Moriya
(DM) interaction are expected to exist for essentially the same reasons as in
DM ferromagnets (FM). It is shown that skyrmions in antiferromagnets with the
DM interaction can be traveling as solitary waves with velocities up to a
maximum value that depends on the DM parameter. Their configuration is found
numerically. The energy and the linear momentum of an AFM skyrmion lead to a
proper definition of its mass. We give the details of the energy-momentum
dispersion of traveling skyrmions and explore their particle-like character
based on exact relations. The skyrmion number, known to be linked to the
dynamics of topological solitons in FM, is, here, unrelated to the dynamical
behavior. As a result, the solitonic behavior of skyrmions in AFM is in stark
contrast to the dynamical behavior of their FM counterparts
