Regular Article

Dust-acoustic rogue waves in an electron depleted plasma

¹ Department of Physics, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh
² Institut für Mathematik, Martin Luther Universität Halle-Wittenberg, 06099 Halle (Saale), Germany
³ Wazed Miah Science Research Center, Jahangirnagar University, Savar, Dhaka 1342, Bangladesh

^a shikha261phy@gmail.com
^b nurealam1743phy@gmail.com
^c abdulmannan@juniv.edu
^d mamun_phys@juniv.edu

Received: 25 March 2019
Revised: 17 June 2019
Published online: 16 August 2019

Abstract

A rigorous theoretical investigation is made to study the characteristics of dust-acoustic (DA) waves (DAWs) in an electron depleted unmagnetized opposite polarity dusty plasma system that contains super-thermal (κ-distributed) ions, mobile positively and negatively charged dust grains for the first time. The reductive perturbation method is employed to obtain the NLSE to explore the modulational instability (MI) conditions for DAWs as well as the formation and characteristics of gigantic rogue waves. The nonlinear and dispersion properties of the dusty plasma medium are the prime reasons behind the formation of rogue waves. The height and thickness of the DARWs associated with DAWs as well as the MI conditions of DAWs are numerically analyzed by changing different dusty plasma parameters, such as dust charges, dust and ion number densities, and ion-temperature, etc. The implications of the results for various space dusty plasma systems (viz., mesosphere, F-rings of Saturn, and cometary atmosphere, etc.) as well as laboratory dusty plasma produced by laser-matter interaction are briefly mentioned.