Obliquely propagating nonlinear ion-acoustic solitary and cnoidal waves in nonrelativistic magnetized pair-ion plasma with superthermal electrons

S Y El-Monier,A Atteya

doi:10.1063/1.5093016

Abstract

The nonlinear propagation of ion-acoustic waves is considered in a magnetized system of collisionless and dissipative pair-ion plasma, composed of cold positively and negatively charged nonrelativistic ions, with superthermal electrons. obliquely propagating ion-acoustic solitary and cnoidal waves are investigated via a mechanical-motion analog Korteweg de Vries (KdV) approach. The characteristics of the emerged nonlinear magnetized waves are significantly modified by the effects of plasma parameters like the obliquity angle, superthermality parameter, negative to positive ions density ratio, electron density and it is also affected by the electron temperature. The obtained results can be generalized to be used to investigate the plasma waves nature in neutron stars, Saturn’s and Pulsars magnetospheres in addition to the laboratory plasmas.

Highlights

About three decades ago, there has been a lot of interest among researchers to explore the properties of the pair-ion plasma and more extensive work has been done in this regard.1–5 The term “pair-ion” implies a system of plasma containing more than one type of ions with opposite charges.1 Pair-ion plasma can be found in Earth’s ionosphere, solar wind, corona, pulsars, in the active galactic nuclei, and supernova remnants.6,7 Many types of pair-ion plasmas can be existing both in space and in laboratory
To the best of our knowledge, oblique propagation of the solitary and periodic waves in nonrelativistic magnetized plasma with positive and negative ions and kappa distributed electrons has never been addressed in the plasma literature. This manuscript is organized in the manner that the introduction is in Sec I, the basic set of equations governing the plasma model, the Korteweg de Vries (KdV) equation is derived and solved in Sec II, the steady state cnoidal waves solutions of the obtained KdV is derived in Sec III, discussion and final conclusions are in Sec IV
The linear, nonlinear dynamics and propagation of IAWs in a magnetized pair-ion collisionless plasma system composed of nonrelativistic inertial positively and negatively charged ions with the presence of excess superthermal electrons are investigated

Summary

INTRODUCTION

There has been a lot of interest among researchers to explore the properties of the pair-ion plasma and more extensive work has been done in this regard. The term “pair-ion” implies a system of plasma containing more than one type of ions with opposite charges. Pair-ion plasma can be found in Earth’s ionosphere, solar wind, corona, pulsars, in the active galactic nuclei, and supernova remnants. Many types of pair-ion plasmas can be existing both in space and in laboratory. To the best of our knowledge, oblique propagation of the solitary and periodic waves in nonrelativistic magnetized plasma with positive and negative ions and kappa distributed electrons has never been addressed in the plasma literature. This manuscript is organized in the manner that the introduction is in Sec I, the basic set of equations governing the plasma model, the KdV equation is derived and solved in Sec II, the steady state cnoidal waves solutions of the obtained KdV is derived in Sec III, discussion and final conclusions are in Sec IV

THE MODEL

Derivation of the KdV equation

NONLINEAR PERIODIC WAVE SOLUTIONS

A Φ3 3B u Φ2 B

RESULTS AND DISCUSSION

CONCLUSION