Lie point symmetries for reduced Ermakov systems

DOI10.1016/j.physleta.2004.08.051zbMath1123.35303arXivnlin/0404031OpenAlexW2135225224WikidataQ62038636 ScholiaQ62038636MaRDI QIDQ2463013

F. Haas, João Goedert

Publication date: 5 December 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0404031

zbMATH Keywords

Lie symmetryErmakov systemErmakov invariant

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (2)

Limit cycles for a class of second order differential equations ⋮ Dirac-Lie systems and Schwarzian equations

Cites Work

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• On the time-dependent oscillator and the nonlinear realizations of the Virasoro group
• Forced time-dependent harmonic oscillator in a static magnetic field: Exact quantum and classical solutions
• Dynamical symmetries and the Ermakov invariant
• Nonlinear supersymmetric (Darboux) covariance of the Ermakov-Milne-Pinney equation
• Ermakov systems: A group-theoretic approach
• On the Lie symmetries of a class of generalized Ermakov systems
• Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
• On the linearization of the generalized Ermakov systems
• The algebraic structure of generalized Ermakov systems in three dimensions
• Cosmic dynamics of Bose–Einstein condensates
• The Lie Algebra sl(2, R) and so-called Kepler-Ermakov Systems
• On the Lie Symmetries of KeplerErmakov Systems
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0

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