Degenerate Poisson pencils on curves: new separability theory

Abstract

A review of a new separability theory based on degenerated Poisson pencils and the so-called separation curves is presented. This theory can be considered as an alternative to the Sklyanin theory based on Lax representations and the so-called spectral curves.

References in corpus (3)

• Quasi-BiHamiltonian Systems and Separability
• Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy
• Separation of variables for the Ruijsenaars system

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• Stackel systems: bi-Hamiltonian property and systematic construction
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• Bi-presymplectic representation of Liouville integrable systems and related separability theory
• Trihamiltonian extensions of separable systems in the plane