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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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DOI

10.1007/bf03012864

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1572-9036

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Symmetries Lagrangian and Conservation Laws for t

Authors: Nail H Ibragimov
Publish Date: 2008/07/17
Volume: 105, Issue: 2, Pages: 157-187
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Abstract

The evolution equations of Maxwell’s equations has a Lagrangian written in terms of the electric E and magnetic H fields but admit neither Lorentz nor conformal transformations The additional equations ∇⋅E=0 ∇⋅H=0 guarantee the Lorentz and conformal invariance but the resulting system is overdetermined and hence does not have a Lagrangian The aim of the present paper is to attain a harmony between these two contradictory properties and provide a correspondence between symmetries and conservation laws using the Lagrangian for the evolutionary part of Maxwell’s equations

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