Squared eigenfunction symmetries for soliton equations. II
type: Item
instance of: scholarly article
title: Squared eigenfunction symmetries for soliton equations. II
zbMATH Open document ID: 0896.35118
author: W. Oevel
author: Sandra Carillo
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-03-24T00:00:00Z
review text: [For part I of this paper see ibid., 151-178 (1998; reviewed above).] This paper is concerned with nonlinear integrable evolution equations in \(1+1\) dimensions arising from constraints of the \(2+1\)-dimensional hierarchies associated to the KP equation, the modified KP equation, and the Dym equation. It is known that there exist links of Bäcklund type and of reciprocal type among the \(2+1\)-dimensional systems. The authors discuss the corresponding links among constrained flows. They also consider squared eigenfunction symmetries generated by solutions of the associated linear scattering problem and extend the links among soliton hierarchies to these symmetries.
reviewed by: Min Ho Lee
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 58J72
zbMATH DE Number: 1115465
zbMATH Keywords: integrable systems
zbMATH Keywords: links of Bäcklund type
zbMATH Keywords: Bäcklund transformations
zbMATH Keywords: KP hierarchy
zbMATH Keywords: modified KP hierarchy
zbMATH Keywords: Dym hierarchy
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5708
OpenAlex ID: W2912437885
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DOI: 10.1006/JMAA.1997.5708
description: scientific article; zbMATH DE number 1115465