Binary Darboux transformations and \(N\)-wave systems in rings
type: Item
instance of: scholarly article
title: Binary Darboux transformations and \(N\)-wave systems in rings
zbMATH Open document ID: 0987.37067
DOI: 10.1007/BF02551200
author: R. Smith
published in: Theoretical and Mathematical Physics
publication date: 2000-11-23T00:00:00Z
review text: This paper deals with the covariance theorems for elementary and binary Darboux transformations in rings. The author extends the definition of the elementary Darboux transformation to an arbitrary number of orthogonal idempotents and proves a covariance theorem for the generalized Zacharov-Shabat (ZS) problems. The author gives examples that generalize the \(N\)-wave system viewed as a zero-curvature condition for the appropriate pair of ZS problems.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 1535328
zbMATH Keywords: \(N\)-wave system
zbMATH Keywords: elementary Darboux transformation
zbMATH Keywords: binary Darboux transformation
zbMATH Keywords: zero-curvature condition
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1535328