Aq-analogue of hierarchy andq-Painlevé VI

DOI10.1088/0305-4470/39/39/S11zbMath1139.37043arXivnlin/0605052OpenAlexW1889514123MaRDI QIDQ3418388

Tetsuya Kikuchi, Saburo Kakei

Publication date: 5 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0605052

zbMATH Keywords

reductionsimilarity reduction\(q\)-Laplace transformation\(q\)-KP hierarchyDrinfel'd-Sokolov hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Related Items

Reductions of lattice mKdV to \(q\)-\(\mathrm{P}_{\mathrm{VI}}\) ⋮ On an integrable system of \(q\)-difference equations satisfied by the universal characters: its Lax formalism and an application to \(q\)-Painlevé equations

This page was built for publication: Aq-analogue of hierarchy andq-Painlevé VI