Modulational Instability of Ion-Acoustic Waves and Associated Envelope Solitons in a Multi-Component Plasma

Subrata Banik,Nadiya Mehzabeen Heera,Rubaiya Khondoker Shikha,Nure Alam Chowdhury,Abdul Mannan,Tasfia Yeashna,A A Mamun,Md Rakib Hassan

doi:10.3390/gases1030012

Subrata Banik, Nadiya Mehzabeen Heera + Show 6 more

Open Access

https://doi.org/10.3390/gases1030012

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Abstract

A generalized plasma model with inertial warm ions, inertialess iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear Schrödinger equation is derived by applying the reductive perturbation method. It is observed that the stable domain of the IAWs decreases with ion temperature but increases with electron temperature. It is also found that the stable domain increases by increasing (decreasing) the electron (ion) number density. The present results will be useful in understanding the conditions for MI of IAWs which are relevant to both space and laboratory plasmas.

Highlights

The intricate mechanism of the modulational instability (MI) of various waves and the formation of the electrostatic envelope solitonic solitons was governed by the standard nonlinear Schrödinger equation (NLSE) [13,21]
We graphically examined the effects of the temperature of the warm ion and superthermal electron as well as the charge state of the warm ion in recognizing the stable and unstable domains of the ion-acoustic waves (IAWs) in the left panel of Figure 2, and it is clear from this figure that: (a) the stable domain decreases with the increase in the value of warm ion temperature but increases with the increase in the value of super-thermal electron temperature when the charge state of the warm ion remains constant; (b) the stable domain increases with
We studied the stability of IAWs in an unmagnetized realistic space plasma system containing warm ions, iso-thermal electrons, κ-distributed electrons and positrons

Summary

Introduction

The co-existence of electrons and positrons in an electron–positron–ion (EPI) plasma medium (EPIPM) was identified by the THEMIS mission [1] and Viking satellite [2] in both space (viz., Saturn’s magnetosphere [3,4,5,6,7], early universe [4,5,6], pulsar magnetosphere [4,5,6], solar atmosphere [8,9,10,11], active galactic nuclei [12,13], and polar regions of neutron stars [14], etc.) and laboratory environments (viz., high intensity laser irradiation [4], semiconductor plasmas [12], hot cathode discharge [4], and magnetic confinement systems [12], etc.). Shahmansouri and Alinejad [3] considered a three-component plasma model with two-temperature super-thermal electrons and cold ions, and investigated IA solitary waves, Gases 2021, 1, 148–155. Panwar et al [8] demonstrated IA cnoidal waves in a three-component plasma medium with inertial cold ion and inertialess two-temperature κ-distributed electrons, and found that a cold electron’s super-thermality increases the height of the cnoidal wave. The intricate mechanism of the MI of various waves (viz., IAWs, EAWs, and PAWs, etc.) and the formation of the electrostatic envelope solitonic solitons was governed by the standard nonlinear Schrödinger equation (NLSE) [13,21]. Kourakis and Shukla [5] investigated the MI of the IAWs in a super-thermal plasma with inertial cold ion and inertialess cold and hot electrons.

Governing Equations

Derivation of the NLSE

Modulational Instability and Envelope Solitons

Numerical Analysis

Conclusions