Dust-Acoustic Rogue Waves in an Electron-Positron-Ion-Dust Plasma Medium

Md Habibur Rahman,Nure Alam Chowdhury,A A Mamun,Abdul Mannan

doi:10.3390/galaxies9020031

Abstract

In this work, the modulational instability of dust-acoustic (DA) waves (DAWs) is theoretically studied in a four-component plasma medium with electrons, positrons, ions, and negative dust grains. The nonlinear and dispersive coefficients of the nonlinear Schrödinger equation (NLSE) are used to recognize the stable and unstable parametric regimes of the DAWs. It can be seen from the numerical analysis that the amplitude of the DA rogue waves decreases with increasing populations of positrons and ions. It is also observed that the direction of the variation of the critical wave number is independent (dependent) of the sign (magnitude) of q. The applications of the outcomes from the present investigation are briefly addressed.

Highlights

Banerjee and Maitra [29] considered a four-component EPID plasma medium (EPIDPM), studied the electrostatic potential structures in the presence of massive dust grains and light positrons, and observed that the height of the potential structures increases with increasing dust number density but decreases with increasing positron number density
Rahman et al [43] examined DA rogue waves (DA-RWs) in a multi-component dusty plasma and observed that the temperature of the ion enhances the height of the DA-RWs
In this paper, we study the modulational instability (MI) of DA waves (DAWs) and the formation of DA-RWs in an EPIDPM

Summary

Introduction

Electron–positron–ion-dust (EPID) plasma has been identified in the galactic centre [1], Saturn’s magnetosphere [2,3], Jupiter’s magnetosphere [3,4], the pulsar magneto-sphere [5,6,7,8], supernova environments [8,9], interstellar medium [10,11,12,13,14], cometary tails [15,16,17], the solar atmosphere [17,18,19,20], and laboratory experiments [21,22,23,24,25]. The dynamics of the EPID plasma medium (EPIDPM) and associated electrostatic nonlinear waves have rigorously changed due to the existence of the light positron and heavy dust grains in the EPIDPM [29,30,31,32]. Roy et al [39] studied the DA shock waves (DA-SHWs) in a three-component dusty plasma featuring non-extensive electrons and observed that the height of the DA-SHWs decreases with q. Rahman et al [43] examined DA-RWs in a multi-component dusty plasma and observed that the temperature of the ion enhances the height of the DA-RWs. Recently, Esfandyari-Kalejahi et al [44] investigated the electrostatic DA-SWs in an EPIDPM and observed that the amplitude of DA-SWs increases with increasing charge of the dust grains.

Governing Equations

B4 δ2 k2 ω 2

Modulational Instability and Rogue Waves

Conclusions