Restricted flows of a hierarchy of integrable discrete systems
type: Item
instance of: scholarly article
title: Restricted flows of a hierarchy of integrable discrete systems
zbMATH Open document ID: 0951.37032
DOI: 10.1007/BF02677424
author: Yun-Bo Zeng
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2001-01-03T00:00:00Z
review text: The author considers the system consisting of \(N\) copies of the spectral problem of a constraints relating to the variational derivatives of Hamiltonian functions or eigenvalues. The systems appear to be invariant under all flows in the hierarchy and give rise naturally to discrete Euler-Lagrange equations. Integrals of motion and Lax representation for these Lagrangian systems are deduced directly from the stationary discrete zero-curvature equation for the hierarchy. It is studied how the hierarchy is related to the AKNS hierarchy in the continuous limit.
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 1328396
zbMATH Keywords: restricted flows
zbMATH Keywords: integrable discrete systems
zbMATH Keywords: Lax representation
zbMATH Keywords: continuous limit
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02677424
OpenAlex ID: W145454474
description: scientific article; zbMATH DE number 1328396