The problem of the principal chiral field with the parameters depending on free arguments and its integration
type: Item
instance of: scholarly article
title: The problem of the principal chiral field with the parameters depending on free arguments and its integration
zbMATH Open document ID: 0763.58011
DOI: 10.1007/BF00047087
author: B. N. Aliev
author: A. N. Leznov
published in: Acta Applicandae Mathematicae
publication date: 1993-01-16T00:00:00Z
review text: This paper describes methods for obtaining certain explicit solutions to the self-dual Yang-Mills equations belonging to the subclass of principal chiral fields with moving poles. This is related to the Hilbert (Riemannian) problem.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 95385
zbMATH Keywords: Yang-Mills equations
zbMATH Keywords: connections
zbMATH Keywords: groups
zbMATH Keywords: differential equations
reviewed by: Carl H. Brans
MaRDI profile type: Publication
cites work: Proof of a Geroch conjecture
cites work: Q3895765
cites work: Exactly and completely integrable nonlinear dynamical systems
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description: scientific article; zbMATH DE number 95385