A theoretical investigation is made to study the propagation of dust-acoustic solitary waves in a general and realistic self-gravitating dusty plasma system containing positively as well as negatively charged warm dust species and nonthermally distributed ion species. The standard reductive perturbation method is employed to derive the Korteweg–de Vries equation which admits the solitary wave solution. The parametric regimes for the existence of dust-acoustic solitary waves associated with electrostatic and self-gravitational potentials are obtained. It is shown that the population of nonthermal ion species significantly modifies the basic features of the dust-acoustic solitary waves. The significant effects of ratios of mass, temperature, and number density of positively charged dust species to those of negatively charged one on the basic properties (namely, phase speed, polarity, amplitude, and width) of the dust-acoustic solitary waves are also identified. A brief comparison between electrostatic and self-gravitational solitary potential structures is also made. The implications of our results to different space and laboratory dusty plasma environments, where opposite polarity dust grains are observed, are briefly discussed.

进行理论研究以研究尘埃声孤立波在一般和现实的自引力尘埃等离子体系统中的传播，该系统包含带正电和带负电的暖尘埃物质和非热分布离子物质。采用标准归约微扰法推导出承认孤波解的 Korteweg-de Vries 方程。获得了与静电和自引力势相关的尘埃声孤立波存在的参数方案。结果表明，非热离子种类的种群显着改变了尘埃声孤立波的基本特征。质量比的显着影响，温度，还确定了带正电的尘埃种类和带负电的尘埃种类的数量密度对尘埃声孤立波的基本特性（即相速度、极性、幅度和宽度）的影响。还对静电和自引力孤立势结构进行了简要比较。简要讨论了我们的结果对不同空间和实验室尘埃等离子体环境的影响，在这些环境中观察到相反极性的尘埃颗粒。