  We construct integrable chiral cosmological models with two scalar fields and
potentials represented in terms of hyperbolic functions. Using the conformal
transformation of the metric and the corresponding models with induced gravity
terms, we obtain the general solutions in the spatially flat, open and closed
Friedmann universes and the corresponding integrals of motion. The obtained
general solutions can be written in terms of the Jacobi elliptic functions of
the conformal time.
