Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas

TL;DR

This paper derives a generalized criterion for the existence of oblique electrostatic ion solitary waves in quasineutral magnetized plasmas using an MHD model, revealing critical angles and conditions affecting wave propagation.

Contribution

It presents an exact, arbitrary-amplitude solution for oblique solitary waves in magnetoplasmas and identifies a universal matching criterion, including effects of plasma composition and rotation.

Findings

Existence of a critical angle for wave propagation in electron-ion magnetoplasmas.

A universal matching criterion for oblique solitary waves in two- and three-component plasmas.

Influence of plasma parameters and rotation on solitary wave conditions.

Abstract

Based on the magnetohydrodynamics (MHD) model, an exact arbitrary-amplitude general solution is presented for oblique propagation of solitary excitations in two- and three-component quasineutral magnetoplasmas, adopting the standard pseudopotential approach. It is revealed that the necessary matching criterion of existence of such oblique nonlinear propagations in two and three-fluid magnetoplasmas share global features. These features are examined for the cases of electron-ion and electron-positron-ion magnetoplasmas with diverse equations of state. This study also reveals that for electron-ion magnetoplasmas with plasma-frequencies larger than the cyclotron-frequency ($B_0<0.137\sqrt{n_0}$) a critical-angle of $\beta_{cr}=\arccos{\left[B_0 /(0.137 \sqrt{n_0})\right]}$ exists, at which propagation of solitary excitation is not possible. Coriolis effect on allowed soliton matching condition in rotating magnetoplasmas is also considered as an extension to this work. Current investigation can have important implications for nonlinear wave dynamics in astrophysical as well as laboratory magnetoplasmas.