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nlin.SI2005
From Stäckel systems to integrable hierarchies of PDE's: Benenti class of separation relations
Maciej Blaszak, Krzysztof Marciniak
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 si…
nlin.SI2005
Geometric reduction of Hamiltonian systems
Krzysztof Marciniak, Maciej Blaszak
Given a foliation S of a manifold M, a distribution Z in M transveral to S and a Poisson bivector Πon M we present a geometric method of reducing this operator on the foliation S a…