Interrelations of discrete Painlevé equations through limiting procedures

DOI10.1080/14029251.2020.1683981zbMath1436.34081OpenAlexW2981902598MaRDI QIDQ5240827

T. Tamizhmani, Alfred Ramani, Basile Grammaticos

Publication date: 29 October 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2020.1683981

zbMATH Keywords

affine Weyl groupscanonical formsdiscrete Painlevé equationslimiting procedures

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Cites Work

• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• Integrable mappings and soliton equations. II
• Singularity analysis for difference Painlevé equations associated with the affine Weyl groupE₈
• On the limits of discrete Painlevé equations associated with the affine Weyl group E8
• On the canonical forms of QRT mappings and discrete Painlevé equations
• From trihomographic to elliptic Painlevé equations
• Discrete versions of the Painlevé equations
• A new family of discrete Painlevé equations and associated linearisable systems
• On the autonomous limit of discrete Painlevé equations

This page was built for publication: Interrelations of discrete Painlevé equations through limiting procedures