Invariant dynamical system for a Poisson bracket of hydrodynamic type

DOI10.1016/j.physleta.2006.12.046zbMath1203.37128OpenAlexW2099483760MaRDI QIDQ620852

Oleg I. Bogoyavlenskij

Publication date: 20 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.12.046

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie algebras and superalgebras to integrable systems (17B80) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (2)

Criteria for existence of a Hamiltonian structure ⋮ Form-invariant Poisson brackets of hydrodynamic type with several spatial variables

Cites Work

• Unnamed Item
• A mathematical introduction to fluid mechanics
• First-order conserved densities for gas dynamics
• Solutions in the large for nonlinear hyperbolic systems of equations
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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