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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 solutio…
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 wi…