Multi-component hierarchies of double bracket equations.
type: Item
instance of: scholarly article
title: Multi-component hierarchies of double bracket equations.
zbMATH Open document ID: 1061.37049
DOI: 10.1016/S0034-4877(03)90010-3
author: Raúl Felipe
published in: Reports on Mathematical Physics
publication date: 2004-08-06T00:00:00Z
review text: The aim of the present paper is to extend previous results to the matrix case. By using a matrix first-order pseudo-differential Lax operator, still more integrable gradient flows are presented. These equations are united by a hierachy called the matrix Brockett hierarchy. A new version of the Zakharov-Shabat-type equations is proved. Formal solutions of this hiearchy are constructed using a matrix double bracket bilinear identity.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 2084222
zbMATH Keywords: Lax operator
zbMATH Keywords: gradient flow
zbMATH Keywords: integrability
zbMATH Keywords: Brockett hierarchy
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
cites work: A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map
cites work: Least squares matching problems
cites work: Q4718265
cites work: Algebraic aspects of Brockett type equations
cites work: Super Brockett equations: a graded gradient integrable system
cites work: Commuting flows and conservation laws for Lax equations
full work available at URL: s0034-4877(03)90010-3
OpenAlex ID: W2056555427
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description: scientific article; zbMATH DE number 2084222