Integrable Euler equations on SO(4) and their physical applications

DOI10.1007/BF01258538zbMath0567.58012MaRDI QIDQ1059912

Oleg I. Bogoyavlenskij

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Euler equationsadditional second order integralIntegrable Euler equationsintegrable in terms of elliptic functionsLie algebra SO(4)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of global differential geometry to the sciences (53C80) Applications of dynamical systems (37N99)

Related Items (7)

NEW ASPECTS ON THE GEOMETRY AND DYNAMICS OF QUADRATIC HAMILTONIAN SYSTEMS ON (𝔰𝔬(3))* ⋮ On a class of three-dimensional quadratic Hamiltonian systems ⋮ The free rigid body dynamics: Generalized versus classic ⋮ Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems ⋮ Unnamed Item ⋮ Euler equations on finite dimensional Lie algebras arising in physical problems ⋮ Collective geodesic flows.

Cites Work

• Unnamed Item
• Lax representation for the systems of S. Kovalevskaya type
• Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization
• The investigation of some self-similar solutions of Einstein’s equations

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