  A class of explicitly integrable models of 1+1 dimensional dilaton gravity
coupled to scalar fields is described in some detail. The equations of motion
of these models reduce to systems of the Liouville equations endowed with
energy and momentum constraints. The general solution of the equations and
constraints in terms of chiral moduli fields is explicitly constructed and some
extensions of the basic integrable model are briefly discussed. These models
may be related to high dimensional supergravity theories but here they are
mostly considered independently of such interpretations. A brief review of
other integrable models of two-dimensional dilaton gravity is also given.
