Lax form of theq-Painlevé equation associated with theA(1)2surface

DOI10.1088/0305-4470/39/39/S13zbMath1140.39314OpenAlexW1561223616MaRDI QIDQ3418390

Hidetaka Sakai

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://doi.org/10.1088/0305-4470/39/39/s13

zbMATH Keywords

Lax formalismmonodromy preserving deformation\(q\)-Garnier system\(q\)-difference Painlevé equation\(A^{(1)}_{2}\) surface

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) Painlevé-type functions (33E17)

Related Items (9)

The Padé interpolation method applied to \(q\)-Painlevé equations. II (differential grid version) ⋮ Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy ⋮ Hypergeometric solutions for the \(q\)-Painlevé equation of type \({E^{(1)}_6}\) by the Padé method ⋮ A \(3 \times 3\) Lax form for the \(q\)-Painlevé equation of type \(E_6\) ⋮ A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) ⋮ Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case ⋮ Geometric aspects of Painlevé equations ⋮ The Padé interpolation method applied to \(q\)-Painlevé equations ⋮ Study of <i>q</i>-Garnier System by Padé Method

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