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

Abstract

The modulational instability (MI) criteria of dust-ion-acoustic (DIA) waves (DIAWs) have been investigated in a four-component pair-ion plasma having inertial pair ions, inertialess non-thermal non-extensive electrons, and immobile negatively charged massive dust grains. A nonlinear Schrödinger equation (NLSE) is derived by using reductive perturbation method. The nonlinear and dispersive coefficients of the NLSE can predict the modulationally stable and unstable parametric regimes of DIAWs and associated first and second-order DIA rogue waves (DIARWs). The MI growth rate and the configuration of the DIARWs are examined, and it is found that the MI growth rate increases (decreases) with increasing the number density of the negatively charged dust grains in the presence (absence) of the negative ions. It is also observed that the amplitude and width of the DIARWs increase (decrease) with the negative (positive) ion mass. The implications of the results to laboratory and space plasmas are briefly discussed.

Electrostatic Shock Structures in a Magnetized Plasma Having Non-Thermal Particles

“…It can be seen from the literature that the PIP system can support these conditions: [17,18,55]), and m 2 < m 1 (i.e., Ar + − F − [10,13]). Equation (41) shows that under consideration of U 0 > 0 and C > 0, no shock wave will exist if A = 0 as the amplitude of the wave becomes infinite, which clearly violates the reductive perturbation method [56][57][58][59]. Thus, A can be positive (i.e., A > 0) or negative (i.e., A < 0), according to the value of other plasma parameters.…”