We address the question of coexistence of superconductivity and ferromagnet
ism. Using a field theoretical approach we study a one-fermion effective mo
del of a ferromagnetic superconductor in which the quasiparticles responsib
le for the ferromagnetism form the Cooper pairs as well. For the first time
we solve self-consistently the mean-field equations for the superconductin
g gap and the spontaneous magnetization. We discuss the physical features w
hich are different in this model and the standard BCS model and consider th
eir experimental consequences