Compatible Lie brackets and integrable equations of the principal chiral model type
type: Item
instance of: scholarly article
title: Compatible Lie brackets and integrable equations of the principal chiral model type
zbMATH Open document ID: 1022.17024
DOI: 10.1023/A:1020141820038
publication date: 2002-01-01T00:00:00Z
review text: We consider two classes of integrable nonlinear hyperbolic systems on Lie algebras. These systems generalize the principal chiral model. Each system is related to a pair of compatible Lie brackets and has a Lax representation, which is determined by the direct sum decomposition of the Lie algebra of Laurent series into the subalgebra of Taylor series and the complementary subalgebra corresponding to the pair. New examples of compatible Lie brackets are given.
Mathematics Subject Classification ID: 17B81
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 1930658
zbMATH Keywords: principal chiral model
zbMATH Keywords: homogeneous subalgebras
zbMATH Keywords: Cherednik model
zbMATH Keywords: integrable nonlinear hyperbolic systems
zbMATH Keywords: compatible Lie brackets
zbMATH Keywords: Lax representation
zbMATH Keywords: Lie algebra of Laurent series
zbMATH Keywords: Taylor series
author: Igor Z. Golubchik
author: V. V. Sokolov
MaRDI profile type: Publication
full work available at URL: a:1020141820038
OpenAlex ID: W55738503
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1930658