Dust-ion-acoustic rogue waves in presence of non-extensive non-thermal electrons

Abstract

Dust-ion-acoustic (DIA) rogue waves (DIARWs) are investigated in a three component dusty plasma system containing inertialess electrons featuring nonthermal nonextensive distribution as well as inertial warm ions and negatively charged dust grains. A nonlinear Schrödinger equation (NLSE), which governs the conditions of the modulational instability (MI) of DIA waves (DIAWs), is obtained by using the reductive perturbation method. It has been observed from the numerical analysis of NLSE that the plasma system supports both the modulationally stable domain, in which dispersive and nonlinear coefficients of the NLSE have the same signs, and the unstable domain, in which dispersive and nonlinear coefficients of the NLSE have opposite signs, and also supports the DIARWs only in the unstable domain. It is also observed that the basic features (viz., stability of the DIAWs, MI, growth rate, amplitude, width of the DIARWs, etc.) are significantly modified by the related plasma parameters (viz., dust charge state, number density of electron and ion, nonextensive parameter q, nonthermal parameter α, etc.). The present study is useful for understanding the mechanism of the formation of DIARWs in the laboratory and space environments where inertialess mixed distributed electrons can exist with inertial ions and dust grains.