Analytical study of ion-acoustic solitary waves in a magnetized plasma with degenerate electrons

TL;DR

This paper provides a rigorous analytical study of ion-acoustic solitary waves in a magnetized plasma with degenerate electrons, confirming previous assumptions about wave characteristics and their dependence on plasma parameters.

Contribution

It offers a comprehensive analytical validation of earlier numerical findings on ion-acoustic solitary waves in degenerate electron magnetized plasma, clarifying wave amplitude dependencies.

Findings

N decreases with the direction cosine lx

N increases with Mach number M

Only hump-shaped solitary waves are possible

Abstract

The propagation of fully nonlinear ion acoustic solitary waves (IASW) in a magneto-plasma with degenerate electrons was investigated by Abdelsalam et al. [[1] Physics Letters A 372 (2008) 4923]. Based on their work in the present work, a rigorous and general analytical study is presented. This confirms their implied assumption that (i) only hump and no cavity is possible and (ii) for humps, the algebraic equation for the maximum density N obtained by them determines it uniquely (naturally assumes N > 1). Here we confirm analytically their assertion that N decreases with lx (the direction cosine of the wave vector k along the x-axis) and N increases with the increase of the Mach number (M).