Skyrmion solutions by generalization of the Atiyah-Manton ansatz
  We generalize the approach of Atiyah and Manton for generating Skyrmion configurations from instantons. The result is a series which parameters are found directly from the chiral angle equation. The series converge rapidly to the exact solution for a class of the Skyrme-like models (including the Skyrme model itself) but describe with less accuracy other types of models. We describe the procedure and discuss its advantages and limitations. 
B.Dion and L. Marleau