Geometric symmetries of the generalized Born-Infeld equation
type: Item
instance of: scholarly article
title: Geometric symmetries of the generalized Born-Infeld equation
zbMATH Open document ID: 0974.78003
author: S. G. Zolotukhina
published in: Moscow University Mathematics Bulletin
publication date: 2000-10-31T00:00:00Z
review text: The paper treats the geometric symmetries of the system of the Euler-Lagrange equations for the functional \[ L=1-\sqrt{1-\tfrac{1}{2}\text{ Tr} (F_{\mu\nu}F^{\mu\nu})}. \] The functional \(L\) is assumed to be given in the main fibering \((\mathbb{R}^4,SU(2),M)\). This functional is a generalization of the Born-Infeld functional in nonlinear theory of electromagnetic fields. The author proves the theorem on conditional invariance of the algebra \(\widetilde{AP}\times su(2) \) for the system of Euler-Lagrange equations corresponding to the Lagrangian \(L\).
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 70H33
zbMATH DE Number: 1524044
zbMATH Keywords: Born-Infeld equations
zbMATH Keywords: geometric symmetries
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1524044