  A close connection of reverse plane partitions with an integrable dynamical
system called the discrete two-dimensional (2D) Toda molecule is clarified. It
is shown that a multiplicative partition function for reverse plane partition
of arbitrary shape with bounded parts can be obtained from each non-vanishing
solution to the discrete 2D Toda molecule. As an example a partition function
which generalizes MacMahon's triple product formula as well as Gansner's
multi-trace generating function is derived from a specific solution to the
dynamical system.
