Geodesic
Equivalence Groups for First-Order Balance Equations and Applications to Electromagnetism
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 271-280

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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.
Keywords: equivalence groups, isovector method, Maxwell equations.
Mots-clés : balance equations 
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     author = {S. \"Ozer and E. Suhubi},
     title = {Equivalence {Groups} for {First-Order} {Balance} {Equations} and {Applications} to {Electromagnetism}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
     year = {2003},
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S. Özer; E. Suhubi. Equivalence Groups for First-Order Balance Equations and Applications to Electromagnetism. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 271-280. http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a11/