On the Painlevé classification of partial differential equations

DOI10.1063/1.528896zbMath0713.35094OpenAlexW2122990279MaRDI QIDQ3198263

Ladislav Hlavatý

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528896

zbMATH Keywords

Painlevé-type classificationsingular point analysis

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

A perturbative Painlevé approach to nonlinear differential equations ⋮ Painlevé Classification of All Semilinear Partial Differential Equations of the Second Order. II. Parabolic and Higher Dimensional Equations ⋮ On generalized Painlevé-chains ⋮ The Painlevé classification of partial differential equations. III. Rational equations with several poles ⋮ Painlevé Classification of All Semi linear Partial Differential Equations of the Second Order. I. Hyperbolic Equations in Two Independent Variables ⋮ On the Painlevé classification of partial differential equations II: Rational equations with one pole

Cites Work

• Differential equations with fixed critical points. II
• Differential equations with fixed critical points
• The Painlevé property for partial differential equations
• The Painleve classification, dominant truncations and resonance analysis
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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