Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields

Fushchych, Wilhelm I.; Tsyfra, Ivan M.; Boyko, Vyacheslav M.

Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields

Authors

Fushchych, Wilhelm I.

Tsyfra, Ivan M.

Boyko, Vyacheslav M.

Description

We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions $Ψ=(\vec E, \vec H)$. A nonlinear complex equation of Euler type for the electromagnetic field is proposed. The invariance algebra of this equation is found.
LaTeX, 10 pages, some misprints of published version corrected