Equivalence Classes of the Second Order Odes with the Constant Cartan Invariant

DOI10.1142/S1402925111001799zbMath1243.34045arXiv1106.6124OpenAlexW3102948735WikidataQ125724970 ScholiaQ125724970MaRDI QIDQ3117943

Vera V. Kartak

Publication date: 1 March 2012

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

Full work available at URL: https://arxiv.org/abs/1106.6124

zbMATH Keywords

Painlevé equationinvariantequivalence problemEmden equationCartan invariant

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (5)

Open problems for Painlevé equations ⋮ Solution of the equivalence problem for the Painlevé IV equation ⋮ ``Painlevé 34 equation: equivalence test ⋮ Point classification of second order ODEs and its application to Painlevé equations ⋮ Solution of the equivalence problem for the third Painlevé equation

Cites Work

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• Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. II
• The local equivalence problem for \(d^ 2y/dx^ 2=F(x,y,dy/dx)\) and the Painlevé transcendents
• Linearization of second order ordinary differential equations via Cartan's equivalence method
• Equivalence classes for Emden equations
• Projective differential geometrical structure of the Painlevé equations
• Is My ODE a Painlevé Equation in Disguise?

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