A three-component plasma composed of nonthermal Kappa-distributed electrons, mobile ions, stationary and dust-fluctuating (spherical) dust particles is considered. By employing reductive perturbation method in a weakly nonlinear limit, the Burger’s equation has been derived and the basic properties of dust ion acoustic shock waves are analyzed. It is observed that for increasing ion–electron temperature ratio, the shock’s amplitude decreases, and vice versa. Moreover, shock steepens for increasing electron–ion equilibrium density ratio. Furthermore, it is observed that the shock potential distribution is directly proportional to the spectral index $\kappa$, whereas the shock’s width is inversely proportional to the latter. Thus, the non-Maxwellian nature of the electronic velocity distribution significantly modifies the perturbed potential profile. In the limiting case $\kappa \to \infty$, the corresponding Maxwellian results are retrieved. Present work will be useful in understanding the nonlinear propagation of dust-ion-acoustic shock waves (DIASHW) in space plasmas where nonthermal population of electrons exist due to various physical phenomena, and in laboratory (e.g., in a double plasma (DP) device, or in tokamak where runaway electrons may result in a non-Maxwellian plasma).

考虑了由非热Kappa分布电子，活动离子，固定和粉尘波动（球形）粉尘颗粒组成的三组分等离子体。通过在弱非线性极限中采用还原摄动法，推导了Burger方程，并分析了粉尘离子声波的基本特性。可以观察到，随着离子电子温度比的增加，激波的振幅减小，反之亦然。此外，冲击会随着电子离子平衡密度比的增加而变陡。此外，观察到冲击电势分布与光谱指数成正比$\kappa$，而冲击波的宽度与后者成反比。因此，电子速度分布的非麦克斯韦性质本质上改变了扰动的电位分布。在极限情况下$\kappa \to \infty$，则检索相应的麦克斯韦结果。当前的工作将有助于理解尘埃离子声波（DIASHW）在空间等离子体中的非线性传播，该空间等离子体由于各种物理现象而存在电子的非热填充，并且在实验室（例如，在双等离子体（DP）设备中） ，或在托卡马克中，失控的电子可能会导致非麦克斯韦等离子体。