Lax representation for the systems of S. Kovalevskaya type

DOI10.1007/BF01208897zbMath0478.70005arXivmath-ph/0111024OpenAlexW2007685040MaRDI QIDQ1161315

A. M. Perelomov

Publication date: 1981

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

Full work available at URL: https://arxiv.org/abs/math-ph/0111024

zbMATH Keywords

fixed pointLax representationintegrals of motionsystems of S. Kovalevskaya type

Mathematics Subject Classification ID

Motion of the gyroscope (70E05) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (8)

Lax representation with a spectral parameter for the Kowalevski top and its generalizations ⋮ The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs ⋮ Lie point symmetries and first integrals: The Kowalevski top ⋮ Quantum mechanically induced Hopf term in the \(O(3)\) nonlinear sigma model ⋮ The geometric foundations of the integrability property of differential equations and physical systems. II. Mechanics on affinely-connected manifolds and the work of Kowalewski and Painlevé ⋮ The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions ⋮ Integrable Euler equations on SO(4) and their physical applications ⋮ Euler equations on finite dimensional Lie algebras arising in physical problems

Cites Work

• Reduction of symplectic manifolds with symmetry
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