Exact solutions construction in scalar fields cosmology is of growing
interest. In this work we review the results which obtained with the help of
one of the most effective method. Namely, the method of generating functions
for exact solutions construction in the scalar field cosmology. We also
included into debate the superpotential method which may be considered as the
bridge to slow roll approximation equations. Basing on the review, we suggested
classification for the generating functions and found connection for all of
them with the superpotential.Comment: 15 parge
