On tronquée solutions of the first Painlevé hierarchy
type: Item
instance of: scholarly article
title: On tronquée solutions of the first Painlevé hierarchy
zbMATH Open document ID: 1200.34111
author: Lun Zhang
author: Dan Dai
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-05-26T00:00:00Z
review text: The authors study the analogue of the Boutroux solution of the first Painlevé equation (asymptotic expansion near infinity in specified sectors of the complex plane) for the first Painlevé hierarchy. The existence of a true solution with the obtained asymptotic expansion follows from Wasow's theory.
reviewed by: Galina Filipuk
Mathematics Subject Classification ID: 34M55
zbMATH DE Number: 5712580
zbMATH Keywords: First Painlevé hierarchy
zbMATH Keywords: tronquée solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.03.053
OpenAlex ID: W1966558118
cites work: Q3995225
cites work: Double scaling limit in the random matrix model: The Riemann-Hilbert approach
cites work: Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach
cites work: Universality of the double scaling limit in random matrix models
cites work: Multi-critical unitary random matrix ensembles and the general Painlevé II equation
cites work: Universality of a double scaling limit near singular edge points in random matrix models
cites work: The existence of a real pole-free solution of the fourth order analogue of the Painlevé I equation
cites work: Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight
cites work: On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
cites work: Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight
cites work: Q5295018
cites work: Painlevé differential equations in the complex plane
cites work: A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
cites work: Tritronquée solutions of perturbed first Painlevé equations
cites work: On Boutroux's Tritronquée Solutions of the First Painlevé Equation
cites work: Existence and uniqueness of tri-tronqu e solutions of the second Painlev hierarchy
cites work: The first and second Painlevé equations of higher order and some relations between them
cites work: Power expansions for solution of the fourth-order analog to the first Painlevé equation
cites work: Geometry of the string equations
cites work: Q3786746
cites work: Asymptotic approximations of integrals
DOI: 10.1016/J.JMAA.2010.03.053
description: scientific article; zbMATH DE number 5712580