A rigorous theoretical investigation is made of arbitrary amplitude heavy nucleus-acoustic (NA) solitary waves (SWs) in a fully ionized multinucleus plasma system (consisting of thermally degenerate electron species (DES) and nondegenerate warm light as well as heavy nucleus species). The pseudo-potential approach, which is valid for the arbitrary amplitude SWs, is employed. The subsonic and supersonic NA SWs (which are found to be compressive) along with their basic features are identified. The basic properties of these subsonic and supersonic NA SWs are found to be significantly modified by the effects of non and ultrarelativistically DES, dynamics of heavy nucleus species, number densities as well as adiabatic temperatures of light and heavy nucleus species, etc. It is shown that the presence of heavy nucleus species with nondegenerate (isothermal) electron species supports the existence of subsonic NA SWs, and that the effects of electron degeneracies and light and heavy nucleus temperatures reduce the possibility for the formation of these subsonic NA SWs. The amplitude of the supersonic NA SWs in the situation of nonrelativistically DES is much smaller than that of ultrarelativistically DES but is much larger than that of isothermal electron species. The rise of adiabatic temperature of light or heavy nucleus species causes to decrease (increase) the amplitude (width) of the subsonic and supersonic NA SWs. On the other hand, the increase in the number density of light or heavy nucleus species causes to increase (decrease) the amplitude (width) of the subsonic and supersonic NA SWs. The results of this investigation are found to be applicable in the laboratory, space, and astrophysical plasma systems.

中文翻译：

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热退化等离子体中任意幅度的重核-声孤立波

对完全电离的多核等离子体系统（由热简并电子物质 (DES) 和非简并暖光以及重核物质组成）中的任意振幅重核声 (NA) 孤立波 (SW) 进行了严格的理论研究。采用了对任意幅度 SW 有效的伪电位方法。确定了亚音速和超音速 NA SW（发现它们具有压缩性）及其基本特征。这些亚音速和超音速 NA SW 的基本性质被非相对论和超相对论 DES、重核物种的动力学、数密度以及轻和重核物种的绝热温度等显着改变。结果表明，重核物质与非简并（等温）电子物质的存在支持了亚音速 NA SW 的存在，并且电子简并和轻重核温度的影响降低了这些亚音速 NA SW 形成的可能性。非相对论 DES 情况下的超音速 NA SW 的振幅远小于超相对论 DES 的振幅，但远大于等温电子物种的振幅。轻或重核物质绝热温度的升高导致亚音速和超音速 NA SW 的幅度（宽度）减小（增加）。另一方面，轻或重核种类数量密度的增加导致亚音速和超音速 NA SW 的幅度（宽度）增加（减少）。