  The basic properties of the nucleus-acoustic (NA) solitary waves (SWs) are
investigated in a super-dense self-gravitating magnetized quantum plasma
(SDSGMQP) system in the presence of an external magnetic field, whose
constituents are the non-degenerate light (heavy) nuclei, and
non/ultra-relativistically degenerate electrons. The Korteweg-de Vries (KdV)
equation has been derived by employing the reductive perturbation method. The
NA SWs are formed with negative (positive) electrostatic (self-gravitational)
potential. It is also observed that the effects of non/ultra-relativistically
degenerate electron pressure, and the obliqueness of the external magnetic
field significantly change the basic properties (e.g. amplitude, width, and
speed) of NA SWs. The findings of our present analysis can be very helpful to
explain the physics behind the formation of the NA SWs in astrophysical compact
objects, specially neutron stars, which are briefly discussed.
