The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann–Hilbert problems

DOI10.1088/0266-5611/26/5/055009zbMath1193.37091arXiv0911.0941OpenAlexW2091460228MaRDI QIDQ3565186

Carlos Álvarez-Fernández, Manuel Mañas, Ulises Fidalgo

Publication date: 2 June 2010

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0941

zbMATH Keywords

orthogonal polynomialsrandom matricesRiemann-Hilbert problemsinverse problems (undetermined coefficients) for PDEcompletely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse problems for PDEs (35R30) Random matrices (algebraic aspects) (15B52) Riemann-Hilbert problems in context of PDEs (35Q15) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

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