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This article is cited in 5 scientific papers (total in 5 papers)
On the 60th birthday of professor V.V. Kozlov
Criteria for existence of a Hamiltonian structure
O. I. Bogoyavlenskij, A. P. Reynolds Department of Mathematics, Queen's University, Kingston, K7L 3N6, Canada
Abstract:
The necessary and sufficient conditions are derived for the existence of a Hamiltonian structure for 3-component non-diagonalizable systems of hydrodynamic type. The conditions are formulated in terms of tensor invariants defined by the metric $h_{ij}(u)$ constructed from the Haantjes (1,2)-tensor.
Keywords:
Poisson brackets, conformally flat metric, covariant derivatives, Weyl–Schouten equations, Haantjes tensor.
Received: 01.10.2009 Accepted: 10.10.2009
Citation:
O. I. Bogoyavlenskij, A. P. Reynolds, “Criteria for existence of a Hamiltonian structure”, Regul. Chaotic Dyn., 15:4-5 (2010), 431–439
Linking options:
https://www.mathnet.ru/eng/rcd508 https://www.mathnet.ru/eng/rcd/v15/i4/p431
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