Shock wave formation in dusty plasma consisting of mobile positive and negative ions, nonthermal electrons, and negatively charged static dust particles is theoretically studied in the presence of a magnetic field. Using the reductive perturbation technique, the basic set of fluid equations is reduced to the three-dimensional Zakarov–Kuznetsov Burgers nonlinear wave equation. The dissipation generated by ion kinematic viscosity in the system is taken into consideration. Distinct features of the dispersive (oscillatory) shock-like structures are discussed for different plasma parameters such as ion kinematic viscosities, ion density ratio, dust density ratio, nonthermal electrons, and magnetic field effect. It is observed that at large value of ion viscosities, nonthermal electrons, and ion density ratio, the formation of compressive shock strength increases. However, at certain critical values of nonthermal electrons, ion density ratio, the transition in the polarity of shock wave occurs within this range of plasma parameters. The considered parameters are reliable in the Solar F Corona (Dust corona) region. The findings of this work may be helpful in understanding shock formation in the Solar F Corona (Dust corona) region and astrophysical related plasma environments.

中文翻译：

---

太阳F日冕区非线性尘埃离子声激波结构

在磁场存在的情况下，理论上研究了由可移动的正负离子、非热电子和带负电的静电尘埃粒子组成的尘埃等离子体中的冲击波形成。使用还原微扰技术，基本的流体方程组被简化为三维 Zakarov-Kuznetsov Burgers 非线性波动方程。考虑了系统中离子运动粘度产生的耗散。针对不同的等离子体参数，如离子运动粘度、离子密度比、尘埃密度比、非热电子和磁场效应，讨论了色散（振荡）类激波结构的独特特征。观察到，在离子粘度、非热电子和离子密度比值较大时，形成抗压冲击强度增加。然而，在非热电子、离子密度比的某些临界值下，在该等离子体参数范围内会发生激波极性的转变。所考虑的参数在 Solar F Corona（尘埃电晕）区域中是可靠的。这项工作的发现可能有助于了解太阳 F 日冕（尘日冕）区域和天体物理相关等离子体环境中的激波形成。