Kapaev’s Global Asymptotics of the Fourth Painlevé Transcendents. Elliptic Asymptotics
Abstract
For the fourth Painlevé transcendents we derive elliptic asymptotic representations, which were announced by late Professor Kapaev without proofs, and an alternative elliptic expression as well. In our calculation WKB analysis is applied to the isomonodromy linear system, and special technical devices are necessary. Then we newly obtain related results on the correction function.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Advanced Differential Equations and Dynamical Systems
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Tokyo Journal of Mathematics
- Publisher
- Tokyo Journal of Mathematics
- Volume
- 49
- Issue
- 1
- Pages
- 37–87
- Publication date
- 1 June 2026
- Language
- EN