The higher-order nonlinearity and parametric effects on dust-ion-acoustic shock waves

Abstract

In the case of obliquely propagated small-amplitude shock waves, in this study, we investigate the impacts of higher order nonlinearity, dust concentrations, viscosity, trapping parameter, etc., on the shock wave structures. The considered magnetized plasma system consists of three components, such as inertial positive ions (mobile), trapped electrons, and immobile negatively charged dust particles. The modified Burger equation (MBE) as well as a linear inhomogeneous equation with dominating dissipative term (in which viscous effect is significant), are derived to observe the variations in shock wave profiles. From the theoretical investigation, we observe that the higher-order nonlinearity has pronouncing effect on the shock amplitude. Furthermore, the viscosity (dust concentration) increases the shock width (the phase speed). Several mathematical techniques, such as the reductive perturbation method, the Abel’s theorem, the method of variation of parameters have been used as the supportive tools.

Characteristics and transformations of dust acoustic double-layers in plasmas with adiabatically trapped-nonextensive ions using Tsallis-Gurevich distribution

“…The presence of these charged dust grains gives rise to various physical phenomena, impacting the nonlinear dynamics of waves and influencing the generation and persistence of acoustic waves associated with the conventional two-species plasma. Furthermore, these dust grains introduce novel modes, such as the dustion acoustic mode (DIA), the dust acoustic mode, and Double-Layer (DL) structures [9][10][11][12]. Notably, DL structures have been the focal point of numerous theoretical and experimental investigations due to their crucial role in diverse plasma phenomena [13,14], including plasma acceleration, heating, and instabilities.…”