Presymplectic representation of bi-Hamiltonian chain

Details Presymplectic representation of bi-Hamiltonian chain Presymplectic representation of bi-Hamiltonian chain

2004-10-26

arxiv.org/abs/nlin/0410057v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

10.1088/0305-4470/37/50/003

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.

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