Abstract

In the present study, the cylindrical/spherical ion acoustic shock waves have been investigated in unmagnetized dusty plasma consisting of positive ions, immobile dust particles and kappa distributed cold and hot electrons. A multiple scale expansion method is employed to derive Burgers equation (BE) and modified Burgers equation (MBE) by including higher order nonlinearity. The basic characeristics of the shock waves have been analyzed numerically and graphically for different physical parameters relevant to space and laboratory dusty plasma environments through 2D figures. We show that the amplitude of the wave decreases faster as one departs away from the axis of the cylinder or centre of the sphere. Such decaying behaviour continues as time progresses. Furthermore, the parametric dependence of wave properties (amplitude, width) on kappa index, density and temperature of cold and hot electrons, concentration of dust particles, thermal effects and kinematic viscosity of ions has been studied in detail and findings obtained here will be beneficial to further astrophysical investigations.

Graphical abstract

中文翻译：

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尘埃等离子体中具有两个温度超热电子的圆柱和球形离子声冲击波

摘要

在本研究中，已经在未磁化的尘埃等离子体中研究了圆柱/球形离子声波，该尘埃等离子体包含正离子，固定的尘埃颗粒以及分布在冷热电子之间的κ。通过包含更高阶的非线性，采用了多尺度展开方法来推导Burgers方程（BE）和修正的Burgers方程（MBE）。已经通过2D数字对与空间和实验室尘土等离子体环境有关的不同物理参数进行了数值和图形分析，以分析冲击波的基本特征。我们显示出，随着远离圆柱轴线或球心，波的振幅减小得更快。随着时间的流逝，这种衰减行为继续进行。此外，波的性质（幅度，宽度）对kappa指数的参数依赖性，

图形概要