Presymplectic representation of bi-Hamiltonian chain

Abstract

Liouville integrable systems, which have bi-Hamiltonian representation of the Gel'fand-Zakharevich type, are considered. Bi-presymplectic representation of one-Casimir bi-Hamiltonian chains and weakly bi-presymplectic representation of multi-Casimir bi-Hamiltonian chains are constructed. The reduction procedure for Poisson and presymplectic structures is presented.

17 pages, to appear in J. Phys. A: Math. Gen

References in corpus (2)

• Separation of variables in quasi-potential systems of bi-cofactor form
• From bi-Hamiltonian geometry to separation of variables: stationary Harry-Dym and the KdV dressing chain

Cited by in corpus (1)

• Bi-presymplectic chains of co-rank one and related Liouville integrable systems