Integrable cosmological models in the Einstein and in the Jordan frames
  and Bianchi-I cosmology
  We study integrable models in the Bianchi I metric case with scalar fields
minimally and non-minimally coupled with gravity and the correspondence between
their general solutions. Using the model with a minimally coupled scalar field
and a constant potential as an example, we demonstrate how to obtain the
general solutions of the corresponding models in the Jordan frame.
