  We find approximate solutions for the two-dimensional non-linear
{\Sigma}-model with Dzyalioshinkii-Moriya term, representing magnetic
Skyrmions. They are built in an analytic form, by pasting different approximate
solutions found in different regions of space. We verify that our construction
reproduces the phenomenology known from numerical solutions and Monte Carlo
simulations, giving rise to a Skyrmion lattice at an intermediate range of
magnetic field, flanked by spiral and ferromagnetic phases for low and high
magnetic field respectively.
