The Degenerate Third Painlevé Equation: Complete Asymptotic Classification of Solutions in the Neighborhood of the Regular Singular Point
Abstract
ABSTRACT We give a classification for the small‐ asymptotic behaviors of solutions to the degenerate third Painlevé equation, , in terms of the monodromy data of a matrix linear ODE whose isomonodromy deformations they describe. We also study the complete asymptotic expansions of the solutions.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Algebraic and Geometric Analysis
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Studies in Applied Mathematics
- Publisher
- Wiley
- Volume
- 156
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN