Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems

DOI10.1080/14029251.2016.1274114zbMath1420.35015OpenAlexW2562888759WikidataQ123136043 ScholiaQ123136043MaRDI QIDQ5231053

Orest D. Artemovych, Anatoliy K. Prykarpatsky, D. L. Blackmore

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2016.1274114

zbMATH Keywords

integrabilityPoisson bracketsHamiltonian operatorsNovikov algebra2-cocyclesdifferentiationsdifferential algebrasRiemann algebraloop-algebraright Leibniz algebraRiemann hydrodynamic hierarchy

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Initial value problems for nonlinear higher-order PDEs (35G25) Applications of Lie algebras and superalgebras to integrable systems (17B80) Geometric theory, characteristics, transformations in context of PDEs (35A30) Leibniz algebras (17A32) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Overdetermined systems of PDEs with variable coefficients (35N10) Other nonassociative rings and algebras (17D99) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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