Cosmological models with scalar fields

We suggest a cosmological model with two real scalar fields $\phi_1$ and $\phi_2$, which play the role of both dark matter and dark energy. The field $\phi_1$ is interpreted as dark matter, because the corresponding effective pressure $p_1$ equals zero. When we choose a suitable potential $V(\phi_1)$, the model can reproduce the classical Friedmann solutions with any curvature sign and also the correspondent solutions of the $\Lambda$CDM and $w$CDM models. The suggested model describes interaction of the dark components (scalar fields) in a natural way via their common potential $V(\phi_1,\phi_2)$. We determined a connection between the potential and a type of interaction, studied different variants of this interaction.