  A special non-linear electromagnetic field theory - the curvilinear wave
electrodynamics (CWED), whose equation in the matrix form is similar to the
equation of the Dirac lepton theory, is offered. It is shown that the solution
of this equation is the motion of the circilarly polarized electromagnetic wave
on a circular trajectory. It is also shown that such wave can be considered as
a massive neutral particle with half spin, similar to neutrino. This theory is
mathematically concurrent to the neutrino theory of Standard Model, but does
not have the contradictions of the Standard Model with last data of neutrino
experiments.
