Criteria for existence of a Hamiltonian structure

DOI10.1134/S1560354710040039zbMath1252.35187OpenAlexW2016919634MaRDI QIDQ618224

A. P. Reynolds, Oleg I. Bogoyavlenskij

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354710040039

zbMATH Keywords

Poisson bracketscovariant derivativessystems of hydrodynamic typeHaantjes tensorconformally flat metricWeyl-Schouten equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60)

Related Items (5)

Classification of the associativity equations possessing a Hamiltonian structure of Dubrovin–Novikov type ⋮ Lie algebra structures for four-component Hamiltonian hydrodynamic type systems ⋮ Classification of the associativity equations with a first-order Hamiltonian operator ⋮ Fluid dynamics and thermodynamics as a unified field theory ⋮ Higher Haantjes brackets and integrability

Cites Work

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• Invariant dynamical system for a Poisson bracket of hydrodynamic type
• Necessary conditions for existence of non-degenerate Hamiltonian structures
• Invariant foliations for the Poisson brackets of hydrodynamic type
• The Hamiltonian structure of the Maxwell-Vlasov equations
• Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• A Group Theoretic Approach to the Equations of Plasma Physics
• Form-invariant Poisson brackets of hydrodynamic type with several spatial variables
• Solutions in the large for nonlinear hyperbolic systems of equations
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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