Arbitrariness of the general solution and symmetries
type: Item
instance of: scholarly article
title: Arbitrariness of the general solution and symmetries
zbMATH Open document ID: 0844.35020
DOI: 10.1007/BF00996120
author: Werner M. Seiler
published in: Acta Applicandae Mathematicae
publication date: 1996-08-29T00:00:00Z
review text: Results of the author [J. Math. Phys. 35, No. 1, 486-498 (1994; Zbl 0803.35143)] concerning the computation of the number of arbitrary functions in the general solution of a system of involutive PDEs are briefly reviewed. They are used to study normal systems and their symmetry reductions. The computation of the number of physical degrees of freedom in gauge systems and the analysis of gauge fixing conditions are discussed. As examples, the Yang-Mills equations with the Lorentz gauge and Einstein's vacuum field equations with harmonic coordinates are considered.
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 70Sxx
zbMATH DE Number: 824536
zbMATH Keywords: gauge theory
zbMATH Keywords: Yang-Mills equations
zbMATH Keywords: Einstein's vacuum field equations
reviewed by: Valeriy Yumaguzhin
MaRDI profile type: Publication
cites work: Symmetries and differential equations
cites work: Q3228322
cites work: Q3329814
cites work: Q3719916
cites work: Group-Invariant Solutions of Differential Equations
cites work: Q4284779
cites work: On the arbitrariness of the general solution of an involutive partial differential equation
description: scientific article; zbMATH DE number 824536