Completely integrable systems of the KdV type related to isospectral periodic regular difference operators
type: Item
instance of: scholarly article
title: Completely integrable systems of the KdV type related to isospectral periodic regular difference operators
zbMATH Open document ID: 0616.35079
DOI: 10.1007/BF00046587
author: Yanyan Li
published in: Acta Applicandae Mathematicae
publication date: 1986-01-01T00:00:00Z
review text: Completely integrable KdV systems are described on coadjoint orbits, which are isospectral classes of periodic regular difference operators. The finite zone solutions for some field equations are obtained when the equations are written on a jet bundle of maps with values in a Lie group and if the orbits are truncated invariantly with regard to the group action.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 58J72
zbMATH DE Number: 3998380
zbMATH Keywords: Completely integrable KdV systems
zbMATH Keywords: coadjoint orbits
zbMATH Keywords: isospectral classes
zbMATH Keywords: periodic regular difference operators
zbMATH Keywords: finite zone solutions
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
cites work: Completely integrable systems, Euclidean Lie algebras, and curves
cites work: Bäcklund equations on Kac-Moody-Lie algebras and integrable systems
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cites work: The spectrum of Hill's equation
cites work: The spectrum of difference operators and algebraic curves
full work available at URL: https://doi.org/10.1007/bf00046587
OpenAlex ID: W3020865767
description: scientific article; zbMATH DE number 3998380