In this talk, we will give a new insight into one of the most well-known nonlinear field theories, the Skyrme model. We will present some exact relevant solutions coming from different new versions (as gauged BPS baby as well as vector BPS Skyrme models [1]) giving rise to topological solitons, and highlighting the BPS character of the theory.

[1] C. Adam et al, Phys. Rev. D 86 045010, 045015 and to be published (2012).