  Novel structure for relativistic hydrodynamics of classic plasmas is derived
following the microscopic dynamics of charged particles. The derivation is
started from the microscopic definition of concentration. Obviously, the
concentration evolution leads to the continuity equation and gives the
definition of particle current. Introducing no arbitrary functions, we consider
the evolution of current (which does not coincide with the momentum density).
It leads to a set of new function which, to the best of our knowledge, have not
been consider in the literature earlier. One of these functions is the average
reverse relativistic (gamma) factor. Its current is also considered as one of
basic functions. Evolution of new functions appears via the concentration and
particle current so the set of equations partially closes itself. Other
functions are presented as functions of basic function as a part of truncation
presiger. Two pairs of chosen functions construct two four vectors. Evolution
of these four vectors leads to appearance of two four tensors which are
considered instead of the energy-momentum tensor. The Langmuir waves are
considered within the suggested model.
