  We study the BPS Skyrme model with potentials breaking the isospin symmetry
and analyse how properties of exact solitonic solutions depend on a form of the
isospin breaking potential. In the case of the strong symmetry breaking a new
topologic structure is observed which enables us to decompose a BPS skyrmion
into a lower dimensional defect localised on a brane (kink). We investigate
some thermodynamical properties of such solitons as well as the role of the
symmetry breaking potential in the resulting mean-field equation of state.
