Equivalence groups for first-order balance equations and applications to electromagnetism


Ozer S. S. , SUHUBI E.

THEORETICAL AND MATHEMATICAL PHYSICS, vol.137, no.2, pp.1590-1597, 2003 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 137 Issue: 2
  • Publication Date: 2003
  • Doi Number: 10.1023/a:1027322121274
  • Title of Journal : THEORETICAL AND MATHEMATICAL PHYSICS
  • Page Numbers: pp.1590-1597

Abstract

We investigate the groups of equivalence transformations for first-order balance equations involving an arbitrary number of dependent and independent variables. We obtain the determining equations and find their explicit solutions. The approach to this problem is based on a geometric method that depends on Cartan's exterior differential forms. The general solutions of the determining equations for equivalence transformations for first-order systems are applied to a class of the Maxwell equations of electrodynamics.