Lie algebra structures for four-component Hamiltonian hydrodynamic type systems
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Publication:644225
DOI10.1016/j.geomphys.2011.07.013zbMath1228.35139OpenAlexW2028009734WikidataQ115353254 ScholiaQ115353254MaRDI QIDQ644225
A. P. Reynolds, Oleg I. Bogoyavlenskij
Publication date: 3 November 2011
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.07.013
Cites Work
- Criteria for existence of a Hamiltonian structure
- Necessary conditions for existence of non-degenerate Hamiltonian structures
- Dubrovin-Novikov type Poisson brackets (DN-brackets)
- On integrability of \(3 \times{}3\) semi-Hamiltonian hydrodynamic type systems \(u_ t^ i = v_ j^ i (u) u_ x^ j\) which do not possess Riemann invariants
- Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
- THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
- Form-invariant Poisson brackets of hydrodynamic type with several spatial variables
- Some Properties of Long Nonlinear Waves
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