Third-order ordinary differential equations admitting the Painlevé I and II as first integrals

DOI10.1006/jmaa.1997.5823zbMath0906.34008OpenAlexW1993009103MaRDI QIDQ1269635

Guy Grebot

Publication date: 16 February 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5823

zbMATH Keywords

first integralsPainlevé equationsthird-order ordinary differential equationsPIPII

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

• The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
• The local equivalence problem for \(d^ 2y/dx^ 2=F(x,y,dy/dx)\) and the Painlevé transcendents
• New similarity reductions of the Boussinesq equation
• Equivalence of higher-order Lagrangians. III. New invariant differential equations
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