Determinant structure of non-autonomous Toda-type integrable systems

DOI10.1088/0305-4470/39/4/004zbMath1084.37055OpenAlexW1972933377MaRDI QIDQ3373192

Satoshi Tsujimoto, Atsushi Mukaihira

Publication date: 13 March 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/4/004

zbMATH Keywords

Toda latticeBäcklund transformationscompletely integrable systemsbilinear method\(R_{II}\) chain

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems ⋮ A KIND OF EXPLICIT QUASI-PERIODIC SOLUTION AND ITS LIMIT FOR THE TODA LATTICE EQUATION ⋮ Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy ⋮ Unnamed Item ⋮ Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials ⋮ A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system

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