Boundary conditions for integrable lattices
type: Item
instance of: scholarly article
title: Boundary conditions for integrable lattices
zbMATH Open document ID: 0912.35145
DOI: 10.1007/BF02466012
publication date: 1998-10-11T00:00:00Z
review text: The boundary condition \(w_0= F(x,w_1,\dots, w_m)\) reduces the chain \(w_{j,x}= h(x,w_{j-1} w_j, w_{j+1})\) to a problem on the half-line. In the paper a finite-dimensional system is considered with two boundary conditions \[ w_0= F(x, w_1,\dots, w_m),\;w_{N+1}= G(X, w_{N- m},\dots, w_N). \] The boundary conditions must be compatible with the pair of symmetries. Bäcklund transformations are constructed.
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1179575
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: Volterra lattice
zbMATH Keywords: Painleve equations
author: V. E. Adler
author: Ismagil Habibullin
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02466012
OpenAlex ID: W2013767800
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1179575