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 language | English |
---|---|
Pages (from-to) | 1590-1597 |
Number of pages | 8 |
Journal | Theoretical and Mathematical Physics(Russian Federation) |
Volume | 137 |
Issue number | 2 |
DOIs | |
Publication status | Published - Nov 2003 |
Keywords
- Balance equations
- Equivalence groups
- Isovector method
- Maxwell equations