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We construct nonlinear representations of the Poincare, Galilei, andconformal algebras on a set of the vector-functions $\Psi =(\vec E, \vec H)$. Anonlinear complex equation of Euler type for the electromagnetic field isproposed. The invariance algebra of this equation is found.

Nonlinear Representations for Poincaré and Galilei algebras and nonlinear equations for electromagnetic fields