Maciej BLASZAK
Institute of Physics,
A. Mickiewicz University,
Umultowska 85,
61-614 Poznan,
POLAND
E-mail: blaszakm@amu.edu.pl

From Stackel systems to soliton hierarchies

Abstract:
We propose a general scheme of constructing of soliton hierarchies from finite dimensional Stackel systems and related separation relations. In particular, we concentrate on the simplest class of separation relations, called Benenti class, i.e. certain Stackel systems with quadratic in momenta integrals of motion.