Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials

DOI10.1016/j.jmaa.2009.07.025zbMath1181.37084OpenAlexW1965751772MaRDI QIDQ1034048

D. Barrios Rolanía, Amílcar Branquinho, Ana Foulquié Moreno

Publication date: 10 November 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10773/8427

zbMATH Keywords

orthogonal polynomialsdifferential equationsrecurrence relations

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (12)

Inverse spectral problem for band operators and their sparsity criterion in terms of inverse problem data ⋮ The symmetrization problem for multiple orthogonal polynomials ⋮ An inverse spectral problem for a special class of band matrices and Bogoyavlensky lattice ⋮ Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials ⋮ On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials ⋮ On the Links between Miura Transformations of Bogoyavlensky Lattices and Inverse Spectral Problems for Band Operators ⋮ Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials ⋮ Inverse Spectral Problems for Second-Order Difference Operators and Their Application to the Study of Volterra Type Systems ⋮ Unnamed Item ⋮ Matrix interpretation of multiple orthogonality ⋮ Inverse spectral problem for Jacobi operators and Miura transformation ⋮ Multiple orthogonal polynomials: Pearson equations and Christoffel formulas

Cites Work

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• Vector orthogonal relations. Vector QD-algorithm
• Completely integrable nonlinear dynamical systems of the Langmuir chains type
• The genetic sums' representation for the moments of a system of Stieltjes functions and its application
• Padé approximants and complex high order Toda lattices
• The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
• SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS
• INTEGRABLE DYNAMICAL SYSTEMS ASSOCIATED WITH THE KdV EQUATION

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