A warm degenerate plasma (containing ultra-relativistically or non-relativistically warm degenerate inertia-less electron species, non-relativistically warm degenerate inertial light nucleus species and stationary heavy nucleus species) is considered. The basic features of planar and non-planar solitary structures associated with the degenerate pressure-driven nucleus-acoustic waves propagating in such a warm degenerate plasma system are investigated. The reductive perturbation method, which is valid for small- but finite-amplitude solitary waves, is used. It is found that the effects of non-planar cylindrical and spherical geometries, non- and ultra-relativistically degenerate electron species and the temperature of degenerate electron species significantly modify the basic features (i.e. speed, amplitude and width) of the solitary potential structures associated with degenerate pressure-driven nucleus-acoustic waves. The warm degenerate plasma model under consideration is applicable not only to all cold white dwarfs, but also to many hot white dwarfs, such as DQ white dwarfs, white dwarf H1504+65, white dwarf PG 0948+534, etc.

中文翻译：

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暖简并多核等离子体中的平面和非平面核声孤立波

考虑了暖简并等离子体（包含超相对论或非相对论暖简并无惯性电子物质、非相对论暖简并惯性轻核物质和静止重核物质）。研究了与在这种温暖的简并等离子体系统中传播的简并压力驱动的核声波相关的平面和非平面孤立结构的基本特征。使用了对小但幅度有限的孤立波有效的归约微扰方法。发现非平面圆柱和球形几何形状、非和超相对论简并电子物质以及简并电子物质的温度的影响显着改变了基本特征（即速度、与简并压力驱动的核声波相关的孤立势结构的幅度和宽度。所考虑的暖简并等离子体模型不仅适用于所有冷白矮星，也适用于许多热白矮星，如DQ白矮星、白矮星H1504+65、白矮星PG 0948+534等。