Stackel systems: bi-Hamiltonian property and systematic construction

Details Stackel systems: bi-Hamiltonian property and systematic construction Stackel systems: bi-Hamiltonian property and systematic construction

2005-09-19

arxiv.org/abs/nlin/0509032v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages

Scientific paper

It is shown that separation conditions (separation curves) are fundamental
objects of separability theory. They are used for the classification of certain
clases of separable systems, for the proof of bi-Hamiltonian property and
finally they allow to construct new separable systems from known ones.

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