  We derive the exact gravitational wave solutions in a general class of
quadratic metric-affine gauge gravity models. The Lagrangian includes all
possible linear and quadratic invariants constructed from the torsion,
nonmetricity and the curvature. The ansatz for the gravitational wave
configuration and the properties of the wave solutions are patterned following
the corresponding ansatz and the properties of the plane-fronted
electromagnetic wave.
