We propose a general scheme of constructing of soliton hierarchies from finite dimensional Stäckel systems and related separation relations. In particular, we concentrate on the simplest class of separation relations, called Benenti class, i.e., certain Stäckel systems with quadratic in momenta integrals of motion.
Journal of Mathematical Physics
- Pub Date:
- March 2006
- Partial differential equations;
- Integrable systems;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- 24 pages