Modulational instability, rogue waves, and envelope solitons in opposite polarity dusty plasmas

Abstract

Dust-acoustic (DA) waves (DAWs) and their modulational instability (MI) have been investigated theoretically in a plasma system consisting of inertial opposite polarity (positively and negatively) warm adiabatic charged dust particles as well as inertialess non-extensive q-distributed electrons and nonthermal ions. A nonlinear Schrödinger (NLS) equation is derived by using the reductive perturbation method. It has been observed from the analysis of NLS equaion that the modulationally stable solitary DAWs give rise to the existence of dark envelope solitons, and that the modulationally unstable solitary DAWs give rise to the existence of bright envelope solitons or rogue structures. It is also observed for the fast mode of DAWs that the basic features (viz. stability of the DAWs, MI growth rate, amplitude and width of the DA rogue waves, etc.) are significantly modified by the related plasma parameters (viz. dust masses, dust charge state, non-extensive parameter q, and non-thermal parameter α). The results of our present investigation might be useful for understanding different nonlinear electrostatic phenomena in both space (viz. ionosphere and mesosphere) and laboratory plasmas (viz. high intensity laser irradiation and hot cathode discharge).PACS. PACS-key discribing text of that key -PACS-key discribing text of that key

Modulational instability of dust-ion-acoustic waves in pair-ion plasma having non-thermal non-extensive electrons

“…To study the MI of the DIAWs, we want to derive the NLSE by employing the reductive perturbation method (RPM) and for that case, first we can write the stretched co-ordinates in the form [28,29,30]…”

Dust-acoustic rogue waves in non-thermal plasmas

“…where k and ω are real variables representing the carrier wave number and frequency, respectively. The derivative operators can be written as [14,15,16,17]…”

“…The stable and unstable parametric regimes of DAWs are organized by the sign of P and Q of Eq. (28) [14,15,16,17,18,19,20]. When P and Q have same sign (i.e., P/Q > 0), the evolution of the DAWs amplitude is modulationally unstable in presence of the external perturbations.…”

“…Chowdhury et al [15] examined the stability conditions for the positron-acoustic waves (PAWs) in a multi-component plasma medium, and found that the critical wave number (k c ), which indicates the stable and unstable parametric regimes of PAWs, reduces with the increase in the value of α. Kourakis and Shukla [16] studied the MI of the DIAWs in a three component plasma medium and showed that the existence of the negative dust grains reduces the value of k c . Rahman et al [17] reported the stable and unstable domains in a dusty plasma medium having non-thermal plasma species, and found that the amplitude of the DA RWs (DARWs) increases with non-thermality of the plasma species.…”

Molecular dynamics investigation of soliton propagation in a two‐dimensional Yukawa liquid

“…Supporting and extending experimental possibilities concerning solitons in dusty plasma, theoretical studies focused on the effects of charge-varying dusty plasma with nonthermal electrons [32], of an external magnetic field [33], of the external periodic perturbations and damping [34], as well as of the presence of dust particles with opposite polarities [35]. The effects of dust-ion collision [36], and the possibility of cylindrical solitary waves [37] were also addressed.…”