The propagation characteristics of dust acoustic shock waves have been investigated in an unmagnetized nonuniform dusty plasma containing dust grains with nonadiabatic changed charges and different size, electrons and ions modeled by kappa distribution. The modified Korteweg–de Vries Burgers equation is derived by using the standard reductive perturbation technique. Numerical and theoretical analyses show that there are two different shock structures, that is, oscillatory shock structures and monotonous shock structures, in system. The results show that the dust size with power law distribution and kappa parameters have an important influence on dust acoustic shock waves.

研究了尘埃声冲击波在未磁化的非均匀尘埃等离子体中的传播特性，该等离子体包含具有非绝热变化电荷和不同尺寸、电子和离子的尘埃颗粒，这些尘埃颗粒由卡伯分布建模。修改后的 Korteweg–de Vries Burgers 方程是通过使用标准还原扰动技术导出的。数值和理论分析表明，系统中存在两种不同的激波结构，即振荡激波结构和单调激波结构。结果表明，具有幂律分布的粉尘粒径和kappa参数对粉尘声冲击波有重要影响。