The Painlevé III, V and VI transcendents as solutions of the Einstein-Weyl equations
type: Item
instance of: scholarly article
title: The Painlevé III, V and VI transcendents as solutions of the Einstein-Weyl equations
zbMATH Open document ID: 0944.37042
DOI: 10.1016/S0375-9601(00)00113-4
published in: Physics Letters. A
publication date: 2000-07-03T00:00:00Z
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 37K20
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 33E17
zbMATH DE Number: 1468437
zbMATH Keywords: integrable Ernst-Weyl equation
zbMATH Keywords: Painlevé III equations
zbMATH Keywords: Painlevé V equations
zbMATH Keywords: Painlevé VI equations
zbMATH Keywords: symmetry reduction
zbMATH Keywords: integable Loewner-Konopelchenko-Rogers system
author: W. K. Schief
MaRDI profile type: Publication
cites work: On a 2+1-dimensional integrable Ernst-type equation
cites work: Q4893760
cites work: Q5540285
cites work: On Laplace-Darboux-type sequences of generalized Weingarten surfaces
cites work: Q4296901
cites work: Q3265258
cites work: Surfaces with harmonic inverse mean curvature and Painlevé equations
cites work: Bonnet surfaces and Painlevé equations
cites work: SQUARED EIGENFUNCTIONS OF THE (MODIFIED) KP HIERARCHY AND SCATTERING PROBLEMS OF LOEWNER TYPE
cites work: Q4491341
cites work: Solutions of Einstein's equations: techniques and results. Proceedings of the International Seminar on Exact Solutions of Einstein's Equations Held in Retzbach, Germany, November 14-18, 1983
cites work: Q5843703
cites work: On a particular transcendent solution of the Ernst system generalized on n fields
cites work: Painlevé Classification of a Class of Differential Equations of the Second Order and Second Degree
cites work: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
cites work: Symmetries and exact solutions of a (2+1)-dimensional sine-Gordon system
cites work: Q4718278
description: scientific article; zbMATH DE number 1468437