  We consider non-linear wave type solutions with mass scale parameter and
vahished canonical spin density operator in a pure SU(2) quantum chtomodynamics
(QCD). A new stationary solution which can be treated as a system of static
Wu-Yang monopole dressed in off-diagonal gluon field is proposed. A remarkable
feature of such a solution is that it possesses a finite energy density
everywhere. All considered non-linear wave type solutions have common features:
presence of a mass scale parameter, non-vanishing projection of the color
magnetic field along the propagation direction and zero spin density. The last
property requires revision of the gauge invariant definition of the spin
density operator which supposed to be massless vector field in the classical
theory. We construct a gauge invariant definition of the classical gluon spin
density which is unique and Lorentz frame independent.
