The lattice structure of connection preserving deformations for \(q\)-Painlevé equations I

DOI10.3842/SIGMA.2011.045zbMath1219.39004arXiv1010.3036OpenAlexW2134800691MaRDI QIDQ542804

Christopher Michael Ormerod

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3036

zbMATH Keywords

Bäcklund transformationLax pairsLax integrability\(q\)-Painlevé equationsisomonodromy\(q\)-Schlesinger transformationsconnection preserving deformations

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

An elliptic Garnier system ⋮ Commutation relations and discrete garnier systems

This page was built for publication: The lattice structure of connection preserving deformations for \(q\)-Painlevé equations I