Real Solutions of the First Painlevé Equation with Large Initial Data

DOI10.1111/sapm.12171zbMath1409.34080arXiv1612.01350OpenAlexW2963511766MaRDI QIDQ4602390

Saiyu Liu, Yu-Qiu Zhao, Wen-Gao Long, Yutian Li

Publication date: 10 January 2018

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01350

zbMATH Keywords

initial value problemfirst Painlevé equationStokes multipliersmethod of uniform asymptotics

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (5)

Connection problem of the first Painlevé transcendents with large initial data ⋮ Nonlinear eigenvalue problems for generalized Painlevé equations ⋮ On the connection problem for the second Painlevé equation with large initial data ⋮ Connection Problem of the First Painlevé Transcendent Between Poles and Negative Infinity ⋮ On the connection problem for nonlinear differential equation

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