  A rigorous theoretical investigation has been made on the nonlinear
propagation of dust-ion-acoustic shock waves in a multi-component magnetized
pair-ion plasma having inertial warm positive and negative ions, inertialess
non-thermal electrons and positrons, and static negatively charged massive dust
grains. The Burgers' equation is derived by employing reductive perturbation
method. The plasma model supports both positive and negative shock structures
in the presence of static negatively charged massive dust grains. It is found
that the steepness of both positive and negative shock profiles declines with
the increase of ion kinematic viscosity without affecting the height, and the
temperature of the electrons enhances the amplitude of the shock profile. It is
also observed that the increase in oblique angle rises the height of the
positive shock profile, and the height of the positive shock wave increases
with the number density of positron. The application of the findings from
present investigation are briefly discussed.
