Constraints of the KP hierarchy and the bilinear method
type: Item
instance of: scholarly article
title: Constraints of the KP hierarchy and the bilinear method
zbMATH Open document ID: 0842.58043
DOI: 10.1007/BF00996122
author: Youjin Zhang
author: Walter Strampp
author: Yi. Cheng
published in: Acta Applicandae Mathematicae
publication date: 1995-12-11T00:00:00Z
review text: The authors consider generalized \(K\)-constraints of the KP hierarchy where the Lax operator \(L\) is forced to satisfy \(L^k_- = q \partial^{-1} r\). The purpose of this paper is to examine the effect of those constraints on the bilinear equations.
reviewed by: Themistocles M. Rassias
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 15A63
zbMATH DE Number: 824538
zbMATH Keywords: bilinear method
zbMATH Keywords: Lax equations
zbMATH Keywords: microdifferential operator
zbMATH Keywords: hierarchy
zbMATH Keywords: constraint
MaRDI profile type: Publication
cites work: Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
cites work: The AKNS hierarchy as symmetry constraint of the KP hierarchy
cites work: Symmetry constraints of the KP hierarchy
cites work: A unified approach to recursion operators if the reduced (1 + 1)-dimensional Hamiltonian systems
cites work: Constraints of the Kadomtsev–Petviashvili hierarchy
cites work: (1+1)-dimensional Hamiltonian systems as symmetry constraints of the Kadomtsev-Petviashvili equation
cites work: Constrained KP hierarchy and bi-Hamiltonian structures
cites work: Bilinear equations for the constrained KP hierarchy
cites work: Bilinear Bäcklund transformations for the KP and \(k\)-constrained KP hierarchy
cites work: Q4491373
full work available at URL: https://doi.org/10.1007/bf00996122
OpenAlex ID: W4244908840
description: scientific article; zbMATH DE number 824538