  A new model of nonlinear electrodynamics with three parameters is suggested
and investigated. It is shown that if the external constant magnetic field
presents the phenomenon of vacuum birefringence takes place. The indexes of
refraction for two polarizations of electromagnetic waves, parallel and
perpendicular to the magnetic induction field are calculated. The electric
field of a point-like charge is not singular at the origin and the static
electric energy is finite. We have calculated the static electric energy of
point-like particles for different parameters of the model. The canonical and
symmetrical Belinfante energy-momentum tensors and dilatation current are
obtained. We demonstrate that the dilatation symmetry and dual symmetry are
broken in the model suggested.
