Tensor invariants of the Poisson brackets of hydrodynamic type

DOI10.1007/s00220-007-0370-8zbMath1204.53067OpenAlexW2082353165MaRDI QIDQ934583

Oleg I. Bogoyavlenskij

Publication date: 30 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-007-0370-8

zbMATH Keywords

dynamical systemone-dimensional gas dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items

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

Cites Work

• Invariant foliations for the Poisson brackets of hydrodynamic type
• Extended integrability and bi-Hamiltonian systems
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• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
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