The Degenerate Third Painlevé Equation: Complete Asymptotic Classification of Solutions in the Neighborhood of the Regular Singular Point
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.
Authors
- A. H. Vartanian
- A. V. Kitaev
Institutions
- College of Charleston (US)
- Steklov Mathematical Institute (RU)
Publication Details
- Journal
- Studies in Applied Mathematics
- Published
- 2026-01-01
- DOI
- https://doi.org/10.1111/sapm.70146
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00