Squared eigenfunction symmetries for soliton equations. I
type: Item
instance of: scholarly article
title: Squared eigenfunction symmetries for soliton equations. I
zbMATH Open document ID: 0896.35117
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 II of this paper see the following review Zbl 0896.35118.] This paper is concerned with three classes of soliton systems associated with scalar Lax operators, namely, the \(2+1\)-dimensional hierarchies of the KP equation, the modified KP equation, and the Dym equation. These classes are related to one another by gauge transformations and reciprocal links. For each of these classes the authors give an algebraic construction of the symmetry transformation generated by products of eigenfunctions. They also extend the links among the 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: 1115464
zbMATH Keywords: integrable systems
zbMATH Keywords: gauge transformations
zbMATH Keywords: Bäcklund transformations
zbMATH Keywords: KP hierarchy
zbMATH Keywords: modified KP hierarchy
zbMATH Keywords: Dym hierarchy
zbMATH Keywords: symmetry transformation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1115464