Lax Pairs for Integrable Lattice Systems

Abstract

This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating examples of such systems, and emphasizes the features that are needed to obtain equations which are local on the spatial lattice.

15 pages, plainTeX, to appear in J Math Phys

References in corpus (4)

• New integrable systems related to the relativistic Toda lattice
• A Novel Hierarchy of Integrable Lattices
• Discrete Toda Field Equations
• A collection of integrable systems of the Toda type in continuous and discrete time, with 2x2 Lax representations

Cited by in corpus (3)

• Integrable discretizations of derivative nonlinear Schroedinger equations
• A Completeness Study on Certain $2\times 2$ Lax Pairs Including Zero Terms
• A completeness study on a class of discrete, 'two by two' Lax pairs