Flat Pencils of Symplectic Connections and Hamiltonian Operators of Degree 2

Details Flat Pencils of Symplectic Connections and Hamiltonian Operators of Degree 2 Flat Pencils of Symplectic Connections and Hamiltonian Operators of Degree 2

2007-04-11

arxiv.org/abs/0704.1401v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages

Scientific paper

10.1016/j.geomphys.2007.12.002

Bi-Hamiltonian structures involving Hamiltonian operators of degree 2 are
studied. Firstly, pairs of degree 2 operators are considered in terms of an
algebra structure on the space of 1-forms, related to so-called Fermionic
Novikov algebras. Then, degree 2 operators are considered as deformations of
hydrodynamic type Poisson brackets.

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