New integrable cases of Euler's equations

DOI10.1016/0021-8928(85)90118-2zbMath0591.73132OpenAlexW4238705058MaRDI QIDQ1075128

Oleg I. Bogoyavlenskij

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90118-2

zbMATH Keywords

Euler's equationsgeneralizedKovalevskaya casecentre of massequations of rotationNewtonian fieldcompletely Liouville integrablemagnetized soliduniform gravitational and magnetic field

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) Electromagnetic effects in solid mechanics (74F15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Electromagnetic theory (general) (78A25) Perturbation methods for rigid body dynamics (70E20)

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