The \(q\)-discrete Painlevé IV equations and their properties

DOI10.1070/RD2004v009n01ABEH000260zbMath1053.39034MaRDI QIDQ1876443

A. S. Carstea, K. M. Tamizhmani, Basile Grammaticos, Alfred Ramani

Publication date: 7 September 2004

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

Cole-Hopf transformationbilinear formsrational solutionsdiscrete Riccati equationdiscrete derivativesingularity structure\(q\)-discrete Painlevé IV equationsauto-Backlund/Schlesinger transformationshomographic equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Related Items

Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case ⋮ Strongly asymmetric discrete Painlevé equations: The additive case ⋮ Rota-Baxter operators on pre-Lie algebras ⋮ Strongly asymmetric discrete Painlevé equations: The multiplicative case

This page was built for publication: The \(q\)-discrete Painlevé IV equations and their properties