  In the present paper we consider a special class of Lorentz surfaces in the
four-dimensional pseudo-Euclidean space with neutral metric which are
one-parameter systems of meridians of rotational hypersurfaces with timelike or
spacelike axis and call them meridian surfaces. We give the complete
classification of minimal and quasi-minimal meridian surfaces. We also classify
the meridian surfaces with non-zero constant mean curvature.
