  The novel thermally degenerate plasma model (based on a system containing
relativistically and thermally degenerate inertial-less electron species,
non-relativistically and thermally degenerate inertial light nucleus species,
and stationary heavy nucleus species) is considered. The basic features of
planar and nonplanar solitary structures associated with the thermally
degenerate pressure driven nucleus-acoustic waves propagating in such a
thermally degenerate plasma system has been investigated. The reductive
perturbation method, which is valid for small amplitude solitary waves, is
used. It is found that the effects of nonplanar cylindrical and spherical
geometries, non and ultra-relativistically degenerate electron species, thermal
and degenerate pressures of electron and light nucleus species, and number
densities of light and heavy nucleus species significantly modify the basic
features (viz. speed, amplitude, and width) of the solitary potential
structures associated with thermally degenerate pressure driven
nucleus-acoustic waves. The degenerate plasma model under consideration is so
general and realistic that it is applicable not only in astrophysical compact
objects like hot white dwarfs, but also in space plasma systems like
mesospheres containing positively charged heavy particles in addition to
electron and ion plasma species.
