Generalized non-linear equations of magneto hydrodynamical media

The basic argument for creation the special theory of relativity was the thesis due to which the linear Maxwell equations are invariant with respect to more general Lorentz transformations, in contrast to non-linear equations of mechanics, which are invariant with respect to Galilean transformations and therefore one must fit equations of mechanics to these more general transformations. In applications to these non-linear equations Galilean transformations are more natural than more general by form but more particular by applications, Lorentz transformations. Equations of motion of two-component plasma and equations of motion of mixtures of gas and fluid in clouds are not invariant with respect to Lorentz transformation, and for the former ones the dispersion law for waves is obtained which gives electromagnetic waves for large frequencies and magneto-hydrodynamic waves for small ones. And it is not posed the condition of invariance of equations with respect to any transformations in inertial systems which is the basic argument of the special theory of relativity