Ermakov systems: A group-theoretic approach

DOI10.1016/0375-9601(94)90700-5zbMath0961.34500OpenAlexW1998783282MaRDI QIDQ1964831

Keshlan S. Govinder, Peter G. L. Leach

Publication date: 6 February 2000

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

Full work available at URL: http://hdl.handle.net/10413/5951

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05)

Related Items

On the Lie Symmetries of KeplerErmakov Systems, Perturbations of Lagrangian systems based on the preservation of subalgebras of Noether symmetries, Symmetries and conservation laws for the generalized n‐dimensional Ermakov system, On the Lie symmetries of a class of generalized Ermakov systems, Lie point symmetries for reduced Ermakov systems, Algebraic properties of first integrals for systems of second-order ordinary differential equations of maximal symmetry

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• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0