A differential geometric characterization of the first Painlevé transcendent

DOI10.1007/BF01456194zbMath0607.34013OpenAlexW2086115662WikidataQ115393473 ScholiaQ115393473MaRDI QIDQ1085320

Niky Kamran, William F. Shadwick

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164310

zbMATH Keywords

differential invariantsecond order ordinary differential equationsfirst Painlevé transcendent

Mathematics Subject Classification ID

General theory for ordinary differential equations (34A99)

Related Items

Coverings of differential equations and Cartan's structure theory of Lie pseudo-groups ⋮ Equivalence of second-order ordinary differential equations to Painlevé equations ⋮ Projective connections, double fibrations and formal neighbourhoods of lines ⋮ On classification problems in the theory of differential equations: Algebra + geometry ⋮ Solution of the equivalence problem for the third Painlevé equation

Cites Work

• The local equivalence problem for \(d^ 2y/dx^ 2=F(x,y,dy/dx)\) and the Painlevé transcendents
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
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