In this manuscript, we aim to derive a general dispersion relation applicable to a multi-component dusty plasma including massive negatively charged dust particles, both negative and positive ions, and electrons. Using the fluid treatment of plasma, we derive dispersion relations for dust ion-acoustic waves (DIAWs) and dust acoustic waves (DAWs) in self-gravitating dusty plasmas and collisional dusty plasmas by incorporating multiple species such as electrons, positive/negative ions, etc. Effects that arise in multicomponent dusty plasma due to negative ions are also discussed. The results obtained in this study are applicable in various space environments, such as cometary plasmas, astrophysical situations, planetary rings and interstellar medium.

中文翻译：

---

多离子尘埃等离子体的声学模式

在这份手稿中，我们旨在推导出适用于多组分尘埃等离子体的一般色散关系，包括大量带负电荷的尘埃粒子、负离子和正离子以及电子。利用等离子体的流体处理，我们通过结合电子、正/负离子等多种物质，推导出自引力尘埃等离子体和碰撞尘埃等离子体中尘埃离子声波 (DIAW) 和尘埃声波 (DAW) 的色散关系，等。还讨论了由于负离子在多组分尘埃等离子体中产生的影响。这项研究获得的结果适用于各种空间环境，如彗星等离子体、天体物理情况、行星环和星际介质。