On Lie systems and Kummer-Schwarz equations

DOI10.1063/1.4794280zbMath1312.34032arXiv1212.5779OpenAlexW3104327164MaRDI QIDQ5397760

Javier de Lucas, Cristina Sardón

Publication date: 24 February 2014

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

Full work available at URL: https://arxiv.org/abs/1212.5779

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26)

Related Items (13)

Multisymplectic structures and invariant tensors for Lie systems ⋮ Lie point symmetry analysis of a second order differential equation with singularity ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Contact Lie systems: theory and applications ⋮ Invariance of second order ordinary differential equations under two-dimensional affine subalgebras of Ermakov-Pinney Lie algebra ⋮ Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ Geometric Hamilton–Jacobi theory on Nambu–Poisson manifolds ⋮ On certain properties of linear iterative equations ⋮ On the generalizations of the Kummer-Schwarz equation ⋮ Erratum: “On Lie systems and Kummer–Schwarz equations” [J. Math. Phys. 54, 033505 (2013)] ⋮ Dirac-Lie systems and Schwarzian equations ⋮ \(k\)-symplectic Lie systems: theory and applications ⋮ Lie-Hamilton systems on the plane: properties, classification and applications

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