Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields
Wilhelm I. Fushchych, Ivan M. Tsyfra, Vyacheslav M. Boyko
Abstract
We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions Ψ=( E, H). A nonlinear complex equation of Euler type for the electromagnetic field is proposed. The invariance algebra of this equation is found.
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