The classical Toda lattice with long range interaction

DOI10.1016/S0375-9601(02)00170-6zbMath1006.70009OpenAlexW2071330624MaRDI QIDQ1854582

Yanyan Li

Publication date: 14 January 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)00170-6

zbMATH Keywords

equations of motionconstants of motionLax equationgeneralized Toda latticeanti-Grassmannian number

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (1)

Darboux transformation and explicit solutions for the derivative versions of Toda equation

Cites Work

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• Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems)
• Theory of nonlinear lattices
• Quantum version of the method of inverse scattering problem
• Three integrable Hamiltonian systems connected with isospectral deformations
• Lectures on Integrable Systems
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals

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