Singularity confinement for matrix discrete Painlevé equations

DOI10.1088/0951-7715/27/9/2321zbMath1306.37068arXiv1311.0557OpenAlexW2041266779MaRDI QIDQ2924848

Manuel Mañas, Giovanni A. Cassatella-Contra, Piergiulio Tempesta

Publication date: 17 October 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0557

zbMATH Keywords

Schur complementssingularity confinementdiscrete integrable systemsnon-commutative discrete Painlevé I equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (6)

Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations ⋮ Multivariate orthogonal polynomials and integrable systems ⋮ Riemann-Hilbert problem and matrix biorthogonal polynomials ⋮ Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems ⋮ Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective ⋮ Painlevé type reductions for the non-Abelian Volterra lattices ^*

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