Studies on the Dust–Ion–Acoustic Solitary Wave in Planar and Non-Planar Super-Thermal Plasmas with Trapped Electrons
Santanu Raut, Subrata Roy, Sandip Saha, Apurba Das
Abstract
The propagation of dust–ion–acoustic wave (DIAW) in an unmagnetized collisional dusty plasma comprised from mobile ions, negative dust particles, and non-Maxwellian trapped electrons, modeled by a kappa distribution function along with a Schamel distribution, was investigated. Reductive perturbation theory (RPT) is applied for constructing a non-planar (cylindrical and spherical) damped Schamel (NDS) equation using the basic field equations. In general, the impact of inter-particle collisions is avoided during the studies of wave dynamics of DIAW in a plasma environment, although these effects may have significant impact on wave formation. For the first time, considerable collisions effect on non-planar Schamel framework is developed and, employing the conservation law, the approximate analytical solution of NDS equation is derived. Finally, the significant effect of the damping term is described from a numerical standpoint. In addition, the effects of index κ (super-thermal) and the parameter β (characteristic trapping) on the propagation of DIAW waves are also investigated in the NDS medium.