  Due to the many unique transport properties of Weyl semimetals, they are
promising materials for modern electronics. We investigate the electrons in the
strong coupling approximation near Weyl points based on their representation as
massless Weyl fermions. We have constructed a new fluid model based on the
many-particle quantum hydrodynamics method to describe the behavior of
electrons gas with different chirality near Weyl points in the low-energy limit
in the external electromagnetic fields, based on the many-particle Weyl
equation and many-particle wave function. The derived system of equations forms
a closed apparatus for describing the dynamics of the electron current, spin
density and spin current density. Based on the proposed model, we considered
small perturbations in the Weyl fermion system in an external uniform magnetic
field and predicted the new type of eigenwaves in the systems of the electrons
near the Weyl points.
