ON THE QUESTION OF THE EXISTENCE OF A FOURTH INTEGRAL OF THE EULER EQUATIONS

DOI10.1070/IM1986V027N03ABEH001208zbMath0624.70006OpenAlexW2129623901MaRDI QIDQ3026397

Oleg I. Bogoyavlenskij

Publication date: 1986

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1986v027n03abeh001208

zbMATH Keywords

Riemann theta functionsintegrable rigid body dynamicscentral force fieldequations of rotationLie groups homomorphismsspherically symmetric inertia

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Free motion of a rigid body (70E15) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03) Hamiltonian and Lagrangian mechanics (70H99)

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