  A theoretical investigation has been carried out on the propagation of
nonlinear ion-acoustic shock waves (IASHWs) in a collsionless magnetized
degenerate quantum plasma system composed of inertial non-relativistic
positively charged light and heavy ions, inertialess ultra-relativistically
degenerate electrons and positrons. The reductive perturbation method has been
employed to drive the Burgers' equation. It has been observed that under
consideration, our plasma model supports only positive potential shock
structure. It is also found that the amplitude and steepness of the IASHWs have
been significantly modified by the variation of ion kinematic viscosity,
oblique angle, number density, and charge state of the plasma species. The
results of our present investigation will be helpful for understanding the
propagation of IASHWs in white dwarfs and neutron stars.
