On a discrete analogue of the two-dimensional Toda lattice hierarchy
type: Item
instance of: scholarly article
title: On a discrete analogue of the two-dimensional Toda lattice hierarchy
zbMATH Open document ID: 0994.35111
author: Satoshi Tsujimoto
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2002-08-08T00:00:00Z
review text: Summary: A discrete analogue of the two-dimensional Toda lattice hierarchy, which includes the discrete analogue of the two-dimensional Toda lattice equation, is obtained by extending the theory of the Toda lattice hierarchy. Special solutions and bilinear equations for the discrete analogue of the two-dimensional Toda lattice hierarchy are presented. It is shown that the subjects originated from the Sato theory are useful for the discrete-time integrable systems.
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K60
zbMATH DE Number: 1777450
zbMATH Keywords: Toda lattice hierarchy
zbMATH Keywords: bilinear equations
zbMATH Keywords: Sato theory
zbMATH Keywords: discrete-time integrable systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1145476418
OpenAlex ID: W1995549584
cites work: Q3688825
cites work: Method for Generating Discrete Soliton Equation. III
cites work: Method for Generating Discrete Soliton Equations. IV
cites work: Nonlinear partial difference equations. II: Discrete-time Toda equation
cites work: On the brauer group of a designularization of a normal surface1
cites work: Q4356069
cites work: On Hirota's difference equations
cites work: Orthogonal polynomial approach to discrete Lax pairs for initial boundary-value problems of the QD algorithm
cites work: Q4745022
cites work: Q4207398
cites work: Q3308741
cites work: Bi-Hamiltonian structure of the \(qd\) algorithm and new discretizations of the Toda lattice
cites work: Q4704163
DOI: 10.2977/PRIMS/1145476418
description: scientific article; zbMATH DE number 1777450