Special solutions of discrete Painlevé equations through direct linearisation
type: Item
instance of: scholarly article
title: Special solutions of discrete Painlevé equations through direct linearisation
zbMATH Open document ID: 1001.34081
DOI: 10.1016/S0378-4371(02)01014-2
author: T. Tamizhmani
author: K. M. Tamizhmani
author: B. Grammaticos
author: A. Ramani
published in: Physica A
publication date: 2002-11-19T00:00:00Z
Mathematics Subject Classification ID: 34M55
zbMATH DE Number: 1832497
zbMATH Keywords: discrete quadrature equivalent
zbMATH Keywords: first-order mappings
zbMATH Keywords: affine Weyl groups
MaRDI profile type: Publication
cites work: Q4001680
cites work: Coalescence cascades and special-function solutions for the continuous and discrete Painlevé equations
cites work: Special function solutions for asymmetric discrete Painlevé equations
cites work: On a class of special solutions of the Painlevé equations
cites work: Integrable mappings and soliton equations. II
cites work: Asymmetric discrete Painlevé equations
cites work: Rational surfaces associated with affine root systems and geometry of the Painlevé equations
cites work: The hunting for the discrete Painlevé equations
cites work: On a transcendental equation related to Painlevé III, and its discrete forms
cites work: From the continuous PV to discrete Painlev$eacute$ equations
cites work: Degeneration through coalescence of theq-Painlevé VI equation
cites work: New exact solutions of the discrete fourth Painlevé equation
cites work: Linearization and solutions of the discrete Painlevé III equation
cites work: The \(q\)-Painlevé V equation and its geometrical description
cites work: Discrete integrable systems from continuous Painlevé equations through limiting procedures
cites work: A \(q\)-analog of the sixth Painlevé equation
cites work: On a novel \(q\)-discrete analogue of the Painlevé VI equation
cites work: An affine Weyl group approach to the eight-parameter discrete Painlevé equation
full work available at URL: s0378-4371(02)01014-2
OpenAlex ID: W2053092954
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description: scientific article; zbMATH DE number 1832497