From Stäckel systems to integrable hierarchies of PDE's: Benenti class of separation relations

Details From Stäckel systems to integrable hierarchies of PDE's: Benenti class of separation relations From Stäckel systems to integrable hierarchies of PDE's: Benenti class of separation relations

2005-11-28

arxiv.org/abs/nlin/0511062v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages

Scientific paper

10.1063/1.2176908

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

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