Hamiltonian structure of non-Abelian Toda lattice

DOI10.1023/A:1007579806383zbMath0959.37052OpenAlexW15809663MaRDI QIDQ1282059

Michael I. Gekhtman

Publication date: 24 April 2001

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007579806383

zbMATH Keywords

completely integrablenon-periodicnon-Abelian Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (14)

Generalized Burchnall-type identities for orthogonal polynomials and expansions ⋮ Lie algebraic aspects of the finite nonperiodic Toda flows ⋮ Miura type transform between non-abelian Volterra and Toda lattices and inverse spectral problem for band operators ⋮ Orthogonal functions related to Lax pairs in Lie algebras ⋮ Matrix-valued Gegenbauer-type polynomials ⋮ Non-Abelian Toda-type equations and matrix valued orthogonal polynomials ⋮ Recursion and Hamiltonian operators for integrable nonabelian difference equations ⋮ Inverse Spectral Problems for Second-Order Difference Operators and Their Application to the Study of Volterra Type Systems ⋮ Qualitative behavior of non-Abelian Toda-like flows ⋮ Spectral analysis of the generalized surface Maryland model ⋮ The spectra of the surface Maryland model for all phases ⋮ Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs ⋮ Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice ⋮ Arithmetic Spectral Transitions for the Maryland Model

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