Invariant foliations for the Poisson brackets of hydrodynamic type

DOI10.1016/j.physleta.2006.08.061zbMath1236.37035OpenAlexW1969846804MaRDI QIDQ942659

Oleg I. Bogoyavlenskij

Publication date: 5 September 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.08.061

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items

On deformations of one-dimensional Poisson structures of hydrodynamic type with degenerate metric ⋮ Criteria for existence of a Hamiltonian structure ⋮ Tensor invariants of the Poisson brackets of hydrodynamic type ⋮ Form-invariant Poisson brackets of hydrodynamic type with several spatial variables

Cites Work

• Necessary conditions for existence of non-degenerate Hamiltonian structures
• A mathematical introduction to fluid mechanics
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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