On the Lie symmetries of Kepler-Ermakov systems

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dc.creatorKarasu, A.
dc.creatorYildirim, H.
dc.date2003-06-12
dc.date.accessioned2026-07-07T04:30:16Z
dc.date.available2026-07-07T04:30:16Z
dc.descriptionIn this work, we study the Lie-point symmetries of Kepler--Ermakov systems presented by C. Athorne in J. Phys. A24 (1991), L1385--L1389. We determine the forms of arbitrary function H(x,y) in order to find the members of this class possessing the sl(2,R) symmetry and a Lagrangian. We show that these systems are usual Ermakov systems with the frequency function depending on the dynamical variables.
dc.descriptionarxiv version is already official
dc.identifierhttps://arxiv.org/abs/math-ph/0306037
dc.identifierhttp://arxiv.org/abs/math-ph/0306037
dc.identifierJ. Nonlinear Math. Phys., volume 9, no.4 (2002) 475-482
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57416
dc.subjectMathematical Physics
dc.titleOn the Lie symmetries of Kepler-Ermakov systems
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