  The existence of new electro-acoustic (EA) waves [named here `degenerate
pressure driven EA' (DPDEA) waves] propagating in a degenerate quantum plasma
(DQP) system [containing non-inertial, cold, non-relativistically
(NR)/ultra-relativistically (UR) degenerate electron species (DES), and
inertial, cold, NR degenerate positive particle species (PPS)] is predicted for
the first time. The DPDEA waves, in which the inertia is mainly provided by the
mass density of the inertial PPS, and the restoring force is mainly provided by
the non-inertial, NR/UR DES, are new since they are completely disappeared if
the degenerate pressure of the plasma particle species is neglected. The
dispersion relation (derived here for the first time) is applied in a white
dwarf DQP system to show the dispersion properties of the new DPDEA waves.
