3 papers
math.CA2025
Classification of the real Painlevé I transcendents by zeros and connection problem: an asymptotic study
Yan Huang, Yu-Tian Li, Wen-Gao Long
In this paper, we study the asymptotic behavior and connection problem of Painlevé I (PI) equation through a detailed analysis of the Stokes multipliers associated with its soluti…
nlin.SI2025
Full Asymptotic Expansion of Monodromy Data for the First Painlevé Transcendent: Applications to Connection Problems
Wen-Gao Long, Yun-Jiang Jiang, Yu-Tian Li
We study the full asymptotic expansion of the monodromy data ({\it i.e.}, Stokes multipliers) for the first Painlevé transcendent (PI) with large initial data or large pole parame…
math.CA2024
On the asymptotics of real solutions for the Painlevé I equation
Wen-Gao Long, Jun Xia
In this paper, we revisit the asymptotic formulas of real Painlevé I transcendents as the independent variable tends to negative infinity, which were initially derived by Kapaev w…