Effect of Ion Temperature Anisotropy on Damped and Undamped Ion-Acoustic KdV Solitons in Plasmas and Quasi-periodic Wave Structures with Kappa-Distributed Electrons

The periodic, quasi-periodic and solitonic properties of ion-acoustic wave (IAW) with ion pressure anisotropy are examined in a magnetized nonthermal electron-ion plasma. Using CGL theory, double adiabatic equation of state for ions is assumed and inertialess electrons are considered to follow nonthermal kappa\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}-distribution. A damping in the system due to ions and neutral atoms collision is also included in the presence of ion pressure anisotropy. The reductive perturbation (RP) method is used to derive Kortewge-de Vries (KdV) equation in a collisionless plasma case and the damped KdV equation with collisional effects for IAW propagation in a magnetized plasma. The effects of anisotropic ion pressure and spectral index kappa\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} for nonthermal electrons on the formation of quasi-periodic nonlinear IAW structures in the presence of external periodic force and their changing from period doubling to multi-periods are investigated in detail.