  The supersymmetric baby-Skyrme model is an interesting field theoretical
model, and its BPS states have been studied using the usual methods. Here, we
propose a novel method to rigorously obtain both topologically stable BPS and
non-BPS states in the $\mathcal{N}=2$ baby Skyrme Model. It is observed that
the BPS states found using this novel method coincide with the BPS states found
using the usual methods. However, we are also able to obtain the non-BPS
states, which break all of the supersymmetry of the theory. Furthermore, there
exists a one-parameter family of non-BPS solutions that are connected to the
half-BPS solutions, where half of the supersymmetry is restored when the
parameter is set to zero. The proposed method is very general, and we expect
that it might be useful for investigating the topologically stable non-BPS
states of other theories. Thus, this method could possibly have wide
applications for the study of non-BPS states in supersymmetric theories.
