  Last year physicists in Europe have measured the velocity of the neutrinos
particles. They found the neutrinos moving faster than the speed of light in
vacuum. This result means that Einstein's relativity principle and its
consequences in modern physics need a global additional renovation. In present
paper the part of this problem is considered in terms of basic Maxwell's method
only. By means of introduction a diffusion like displacement current the new
super wave equation was derived, which permits of its solution be described the
electromagnetic waves moving some faster than the conventional speed of light
in vacuum especially in a gamma ray of a very short wave length region. The
unique properties of these waves are that they undergo nonlinear dispersion
law, uppermost limit of which is restricted. Discussion of further experimental
problems and a number of estimations are given for the macro physic super wave
equations also.
