Elementary Toda orbits and integrable lattices

DOI10.1063/1.533279zbMath1052.37051OpenAlexW2034814052MaRDI QIDQ2737977

Michael I. Gekhtman, Leonid Faybusovich

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533279

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lattice dynamics; integrable lattice equations (37K60)

Related Items

Some Poisson structures and Lax equations associated with the Toeplitz lattice and the Schur lattice, Lie algebraic aspects of the finite nonperiodic Toda flows, Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies, Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems, Poisson geometry of directed networks in an annulus, Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective, A non-local Poisson bracket for Coxeter--Toda lattices, Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras, Padé approximants on Riemann surfaces and KP tau functions, The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices, Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy, A bi-Hamiltonian structure for the integrable, discrete nonlinear Schrödinger system, Discrete time Toda systems, Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices, Integrability on the master space, Dimer models and integrable systems, Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices, Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model

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