Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields
2002
We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions $\Psi =(\vec E, \vec H)$. A nonlinear complex equation of Euler type for the electromagnetic field is proposed. The invariance algebra of this equation is found.
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