On integrable systems close to the Toda lattice

DOI10.1007/BF00761104zbMath0798.58035OpenAlexW2086686106MaRDI QIDQ1318321

Michael F. Jørgensen, Vadim B. Kuznetsov, Peter Leth Christiansen

Publication date: 3 November 1994

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

Full work available at URL: https://doi.org/10.1007/bf00761104

zbMATH Keywords

Toda latticeLax representationself-trapping system

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

Related Items (10)

Classical integrable lattice models through quantum group related formalism ⋮ Canonical and noncanonical variables, Baxter's \(Q\)-operator and the XXX model. ⋮ Nonlinear integrable systems containing the canonical subsystems of distinct physical origins ⋮ Generation of a quantum integrable class of discrete-time or relativistic periodic Toda chains ⋮ Integrable systems with Belavin-Drinfeld \(R\)-matrices ⋮ Separation of variables for a lattice integrable system and the inverse problem ⋮ Few-Lattice-Site Systems of Discrete Self-Trapping Equations ⋮ The openXXZand associated models atqroot of unity ⋮ Four-component integrable systems inspired by the Toda and the Davydov-Kyslukha models ⋮ On a modified discrete self-trapping dimer

Cites Work

• The discrete self-trapping equation
• There's more than one way to skin Schrödinger's cat
• On the quantum inverse scattering method for the DST dimer
• A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top
• The discrete self-trapping equation and the Painleve property
• Alternate quantizations of the discrete self-trapping dimer
• A generalized discrete self-trapping equation

This page was built for publication: On integrable systems close to the Toda lattice