Electrostatic solitary waves and double layers in a non-extensive dusty plasma with arbitrarily charged dust

Abstract

The nonlinear propagation of dust ion-acoustic (DIA) solitary waves (SWs) as well as double layers (DLs) in a dusty plasma containing warm adiabatic ions, non-extensive electrons, and arbitrarily (positively or negatively) charged immobile dust are studied. Based on the energy-like integral equation, a new relationship between the localized electrostatic disturbances and dust polarity in the non-extensive dusty plasma is derived. It is shown that the effect of electron non-extensivity, in contrast to the influence of extensive electrons, is destructive for the formation of the SWs and DLs. It is also found that the negative (positive) dust number density raises (reduces) the possibility for the formation of these localized states.