An elementary and direct proof of the Painlevé property for the Painlevé equations I, II and IV

DOI10.1007/BF02788783zbMath1062.34101OpenAlexW1988439089MaRDI QIDQ1880926

Min Yan, Jishan Hu

Publication date: 27 September 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788783

zbMATH Keywords

meromorphic solutionsPainlevê equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (1)

Regularising transformations for complex differential equations with movable algebraic singularities

Cites Work

• Solutions of a modified third Painlevé equation are meromorphic
• Singularity analysis for integrable systems by their mirrors
• The Mirror Systems of Integrable Equations
• On Painlevé's equations I, II and IV
• Solutions of the first and second Painlevé equations are meromorphic

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