  We give a succinct summary of the recently discovered solvable models of
magnetic skyrmions in two dimensions, and of their general solutions. The
models contain the standard Heisenberg term, the most general translation
invariant Dzyaloshinskii-Moriya (DM) interaction term and, for each DM term, a
particular combination of anisotropy and Zeeman potentials. We argue that
simple mathematical features of the explicit solutions help understand general
qualitative properties of magnetic skyrmion configurations in more generic
models.
