Ion-acoustic dressed solitary structures in two component plasma with Tsallis-nonthermal velocity distribution of electrons

The present investigation deals with the study of small amplitude nonlinear ion-acoustic dressed solitary structures in two component plasma model consisting of cold positive ions and electrons. The electrons are assumed as featuring hybrid q-nonextensive nonthermal distribution also known as Cairns–Tsallis velocity distribution. In the lowest order of potential, the basic set of fluid equations is reduced to the well known Korteweg-de Vries (KdV) equation. By including the contribution of higher order potential, an inhomogeneous KdV-type nonliner equation results that contains fifth order dispersion. The numerical values of the parameters like nonthermal (α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha$$\end{document}) and nonextensive (q) are according to the range suggested by Williams et al. (Phys Rev E 88:023103, 2013). The finite value of nonthermal parameter results into the formation of rarefactive type solitary structures. A comparison of amplitudes of higher order correction, dressed and KdV solitons has been presented pictorially. The combined effect of nonextensive parameter q and nontermal parameter on the soliton dynamics has also been studied and the results are shown in the form of two and three dimensional profiles.