Preface to the special issue: orthogonal polynomials and integrable systems, peakons, Toda lattices and Painlevé transcendents

DOI10.1016/j.physd.2023.133830zbMath1525.37059OpenAlexW4382051181MaRDI QIDQ6111927

Jacek Szmigielski, Xing-Biao Hu, Xiang-Ke Chang

Publication date: 4 August 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2023.133830

zbMATH Keywords

orthogonal polynomialsPadé approximationsCamassa-Holm equationPainlevé equationspeakonsLax integrabilityToda systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Cites Work

• Unnamed Item
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