Complex high order Toda and Volterra lattices1

DOI10.1080/10236190802019491zbMath1173.37042OpenAlexW2113654342MaRDI QIDQ3600662

Amílcar Branquinho, D. Barros Rolanía

Publication date: 5 February 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802019491

zbMATH Keywords

sequences of polynomialsToda latticeBäcklund transformation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (10)

Operational rules and d-orthogonal polynomials of Laguerre type ⋮ On the existence of Darboux transformations for banded matrices ⋮ The symmetrization problem for multiple orthogonal polynomials ⋮ On the Darboux transformations and sequences of \(p\)-orthogonal polynomials ⋮ On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials ⋮ Orthogonal polynomial interpretation of \(q\)-Toda and \(q\)-Volterra equations ⋮ Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system ⋮ Characterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretation ⋮ Matrix Toda and Volterra lattices ⋮ Spectrum and generation of solutions of the Toda lattice

Cites Work

• Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
• Darboux transformation and perturbation of linear functionals
• On the Toda and KAC-VAN Moerbeke Systems
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