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

Ozer S. S., SUHUBI E.

THEORETICAL AND MATHEMATICAL PHYSICS, cilt.137, sa.2, ss.1590-1597, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 137 Sayı: 2
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1023/a:1027322121274
  • Dergi Adı: THEORETICAL AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1590-1597
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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.