Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations
type: Item
instance of: scholarly article
title: Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations
zbMATH Open document ID: 0911.39007
published in: Communications in Mathematical Physics
publication date: 1998-12-13T00:00:00Z
review text: Two discrete equations \(d-P_{\text{II}}\) and \(d-P_{\text{III}}\), known as discrete forms of Painlevé equations \(P_{\text{III}}\) and \(P_{\text{VI}}\), respectively, are studied. Both equations are self-dual, i.e. the same equation governs the evolution along the discrete independent variable and in the direction of the parameters. These equations can be represented by a system of Hirota-Miwe equations governing the evolution in any direction of the independent variable or the parameter.
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1213896
zbMATH Keywords: self-duality
zbMATH Keywords: Schlesinger chains
zbMATH Keywords: asymmetric \(d-P_{\text{ II}}\) and \(q-P_{\text{III}}\) equations
zbMATH Keywords: Painlevé equations
zbMATH Keywords: system of Hirota-Miwe equations
author: A. Ramani
author: Yasuhiro Ohta
author: J. Satsuma
author: B. Grammaticos
reviewed by: Dobiesław Bobrowski
MaRDI profile type: Publication
full work available at URL: s002200050291
OpenAlex ID: W2328251029
DOI: 10.1007/S002200050291
description: scientific article; zbMATH DE number 1213896