Lax pairs for integrable lattice systems
R. S. Ward
Abstract
Open-access reader
R. S. Ward
Abstract
Open-access reader
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.
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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.
Key concepts: Integrable system, Lattice (music), Lax pair, Crystal system, Mathematics, Lattice model (finance), Pure mathematics, Physics