The Painlevé Property

Inhaltsverzeichnis

• Singularities of Ordinary Linear Differential Equations.
• Introduction to the Theory of Isomonodronic Deformations.
• Painlevé Approach to Nonlinear Ordinary Differential Equations.
• Asymptotic Studies of the Painlevé Equations.
• 2D Quantum and Topological Gravities.
• Painlevé Transcendents in Two Dimensional Topological Field.
• Discrete Painlevé Equations.
• Painlevé Analysis for Partial Differential Equations.
• On Painlevé and Darboux Halpen Type Equations.
• Symmetry Reduction and Exact Solutions.
• Painlevé Equations in Terms of Entire Functions.
• Backlund Transformations of Painlevé Equations.
• The Hamiltonians Associated to Painleve Equations.
• Completeness of the Painlevé Test.