On deformations of one-dimensional Poisson structures of hydrodynamic type with degenerate metric

Author:

Savoldi Andrea

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference37 articles.

1. Hamiltonian formalism of one-dimensional systems of the hydrodynamic type and the Bogolyubov-Whitham averaging method;Dubrovin;Dokl. Akad. Nauk SSSR,1983

2. On Poisson brackets of hydrodynamic type with a degenerate metric;Grinberg;Russian Math. Surveys,1985

3. Invariant foliations for the Poisson brackets of hydrodynamic type;Bogoyavlenskij;Phys. Lett. A,2007

4. Tensor invariants of the Poisson brackets of hydrodynamic type;Bogoyavlenskij;Comm. Math. Phys.,2008

5. Hamiltonian pairs generated by skew-symmetric Killing tensors on spaces of constant curvature;Mokhov;Funktsional. Anal. i Prilozhen.,1994

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1. Classification of degenerate non-homogeneous Hamiltonian operators;Journal of Mathematical Physics;2023-03-01

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