The Euler equations on Lie algebra so(4): An elementary approach to integrability condition

DOI10.1063/1.1370550zbMath1005.37025OpenAlexW1995048179WikidataQ104405161 ScholiaQ104405161MaRDI QIDQ2774927

Andrzej J. Maciejewski, Jean-Marie Strelcyn, Sasho Ivanov Popov

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1370550

zbMATH Keywords

Euler equationsLie algebra so(4)Manakov integrabilityproduct case integrability

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (6)

On rational integrability of Euler equations on Lie algebra \(\mathrm{so}(4, \mathbb C)\) ⋮ On rational integrability of Euler equations on Lie algebra \(so0(4,\mathbb C)\), revisited ⋮ On the dynamics of the Euler equations on so(4) ⋮ The Euler-Poisson equations: an elementary approach to integrability conditions ⋮ On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\) ⋮ Non-integrability of the optimal control problem for n-level quantum systems

Cites Work

• On the motion of a heavy rigid body about a fixed point
• The algebraic integrability of geodesic flow on SO(4)
• Geodesic flow on \(SO(4)\) and Abelian surfaces
• The algebraic complete integrability of geodesic flow on SO(N)
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• Invariants of homogeneous ordinary differential equations
• Integrability and non-integrability in Hamiltonian mechanics
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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