Hidden symmetries and linearization of the modified Painlevé–Ince equation

DOI10.1063/1.530322zbMath0785.34014OpenAlexW2006976231MaRDI QIDQ4276727

Barbara Abraham-Shrauner

Publication date: 27 April 1994

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

Full work available at URL: https://doi.org/10.1063/1.530322

zbMATH Keywords

linearizationhidden symmetriesharmonic oscillatorRiccati transformationthird-order ordinary differential equationmodified Painlevé-Ince equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

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Cites Work

• Symmetry Lie algebras of \(n\)th order ordinary differential equations
• Symmetries of nonlinear differential equations and linearisation
• First integrals for the modified Emden equation q̈+α(t) q̇+q n =0
• THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION
• Hidden symmetries associated with the projective group of nonlinear first-order ordinary differential equations
• Analysis and solution of a nonlinear second-order differential equation through rescaling and through a dynamical point of view