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

S. Özer*, E. Şuhubi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1590-1597
Number of pages8
JournalTheoretical and Mathematical Physics(Russian Federation)
Volume137
Issue number2
DOIs
Publication statusPublished - Nov 2003

Keywords

  • Balance equations
  • Equivalence groups
  • Isovector method
  • Maxwell equations

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