Integrability of Lie Systems through Riccati Equations

DOI10.1142/S1402925111001131zbMath1221.34026arXiv1002.0530MaRDI QIDQ2996766

José F. Cariñena, Javier de Lucas

Publication date: 3 May 2011

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

Full work available at URL: https://arxiv.org/abs/1002.0530

zbMATH Keywords

Riccati equationsnonlinear equationsintegrability conditionsLie systemsgeometric methods in differential equationsexplicit solutions and reductions

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Explicit solutions of the \({\mathfrak{a}_1}\)-type Lie-Scheffers system and a general Riccati equation ⋮ On expansion of a solution of general nonautonomous polynomial differential equation ⋮ \(k\)-symplectic Lie systems: theory and applications

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