On rational integrability of Euler equations on Lie algebra \(\mathrm{so}(4, \mathbb C)\)

DOI10.1007/s11856-008-0012-7zbMath1143.37047OpenAlexW1968323996WikidataQ115377714 ScholiaQ115377714MaRDI QIDQ926426

Jean-Marie Strelcyn, Sasho Ivanov Popov

Publication date: 27 May 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-0012-7

zbMATH Keywords

HamiltonianintegrabilityEuler equationLie algebraCasimir functionLie-Poisson bracket\(\text{so}(4,\mathbb C)\)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (5)

Comment on ``On the polynomial integrability of the Kirchhoff equations ⋮ On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited ⋮ The Euler-Poisson equations: an elementary approach to integrability conditions ⋮ On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\) ⋮ ENERGY METHODS IN THE STABILITY PROBLEM FOR THE 𝔰𝔬(4) FREE RIGID BODY

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