Geometry of Lie integrability by quadratures

DOI10.1088/1751-8113/48/21/215206zbMath1328.34010arXiv1409.7549OpenAlexW1529932996MaRDI QIDQ5256061

Fernando Falceto, Janusz Grabowski, Manuel F. Rañada, José F. Cariñena

Publication date: 22 June 2015

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

Full work available at URL: https://arxiv.org/abs/1409.7549

zbMATH Keywords

integrable dynamical systemssolvable and nilpotent Lie algebrasintegration by quadratures

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

Non-commutative integrability, exact solvability and the Hamilton-Jacobi theory ⋮ Solutions of the Hamilton equations for time-dependent Hamiltonian systems by means of solvable Lie algebras of symmetries ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems ⋮ Unnamed Item ⋮ Solvable Lie algebras of vector fields and a Lie's conjecture ⋮ Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems

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