The development and stability of acoustic thin-shell wormholes (WHs) within the context of acoustic black holes are examined in this paper. Utilizing linearized radial perturbations, the stability of these WHs is examined. In this study, a variety of equations of state are taken into account, including barotropic, variable Chaplygin, and phantom-like equations of state. According to the findings, the acoustic black hole structure has an unstable configuration for barotropic fluid. However, as the parameter ${ℰ}$ gets closer to zero, it does not show any stable or unstable configurations at the event horizon position. For higher values of $n$ and $\xi$, the resulting structure for the phantom-like variable equation of state (EoS) displays stable behavior away from the horizon while presenting unstable configurations close to the event horizon. The possibility of a stable structure rises as $n$ is increased. Additionally, the constructed structure exhibits stable behavior for $n=1$ under extreme acoustic black holes, whereas thin-shell topologies demonstrate unstable behavior outside the event horizon for the generalized Chaplygin variable EoS. However, the structure stabilizes for $n=1$ at higher values of $\xi$. The stability of acoustic thin-shell WHs is higher than that of Schwarzschild thin-shell WHs for smaller values of $n$, indicating that the acoustic black hole parameter greatly influences the stable configurations of thin-shell WHs.

本文研究了声学黑洞背景下声学薄壳虫洞（WH）的发展和稳定性。利用线性化径向扰动，检查了这些白线的稳定性。在本研究中，考虑了各种状态方程，包括正压状态方程、变量 Chaplygin 状态方程和类幻影状态方程。根据研究结果，声学黑洞结构对于正压流体具有不稳定的构型。然而，作为参数${ℰ}$接近于零，它在事件视界位置没有显示任何稳定或不稳定的配置。对于更高的值$n$和$\Psi$，由此产生的幻影变量状态方程 (EoS) 的结构在远离视界时表现出稳定的行为，而在靠近事件视界时呈现出不稳定的配置。稳定结构的可能性随着$n$增加了。此外，所构建的结构表现出稳定的行为$n=1$在极端声学黑洞下，而薄壳拓扑在广义 Chaplygin 变量 EoS 的事件视界之外表现出不稳定的行为。然而，该结构稳定$n=1$在较高的值$\Psi$。对于较小的值，声学薄壳WH的稳定性高于史瓦西薄壳WH的稳定性$n$，表明声学黑洞参数对薄壳白空的稳定构型影响很大。