Solar wind interaction with dusty plasma produces electrostatic instabilities and solitons

It is shown that the solar wind interaction with dusty plasma in planetary magnetospheres gives rise to electrostatic instabilities and solitary structures. Non-Maxwellian electrons increase the growth rate of shear flow instability and reduce the amplitude of solitary pulses formed by the modified dust ion acoustic wave (mDIAW) in nonlinear regime. Dust number density plays the similar role. The kappa (κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\kappa $\end{document}) and Cairns distribution functions are used to take into account the role of non-Maxwellian electrons in the presence of stationary dust and flowing ions along the external magnetic field with inhomogeneous velocity. This theoretical model is general and it can be applied to various dusty plasma environments such as interstellar medium, cometary tails and planetary magnetospheres. Here it has been applied to the Saturn’s F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$F$\end{document}-ring plasma.