The \(q\)-discrete Painlevé IV equations and their properties
type: Item
instance of: scholarly article
title: The \(q\)-discrete Painlevé IV equations and their properties
zbMATH Open document ID: 1053.39034
author: K. M. Tamizhmani
author: A. S. Carstea
author: B. Grammaticos
author: A. Ramani
published in: Regular and Chaotic Dynamics
publication date: 2004-09-07T00:00:00Z
review text: The authors study in detail the properties of two \(q\)-discrete Painlevé IV equations: singularity structure, bilinear forms, auto-Backlund/Schlesinger transformations, rational solutions as well as special solutions obtained through second- or first-order linear equations.
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 34M55
zbMATH DE Number: 2097405
zbMATH Keywords: discrete Riccati equation
zbMATH Keywords: homographic equation
zbMATH Keywords: Cole-Hopf transformation
zbMATH Keywords: discrete derivative
zbMATH Keywords: \(q\)-discrete Painlevé IV equations
zbMATH Keywords: singularity structure
zbMATH Keywords: bilinear forms
zbMATH Keywords: auto-Backlund/Schlesinger transformations
zbMATH Keywords: rational solutions
MaRDI profile type: Publication
DOI: 10.1070/RD2004V009N01ABEH000260
description: scientific article; zbMATH DE number 2097405