Dust-ion acoustic shock waves for nonplanar geometry with nonthermal electrons and adiabatic dusty plasma

Abstract

The nonplanar Burgers' equation for dust-ion-acousti shock waves was derived for unmagnetized adiabatic dusty plasmas, comprising static negatively charged dust uid, nonthermal distributed electrons, and Boltzmann dis- tributed positron and adiabatic ion uid, by employing the standard reductive perturbation method. The solution of the modied Burgers' equation for nonplanar geometry is numerically analyzed. The dependence of dust-ion-acousti shock waves on some plasma parameters is explored. It is observed that inclusion of the nonthermal electron distribution mod- ies the shock wave prole signicantly. Likewise, it is found that the nonplanar geometry effects have an important role on the establishment of shock waves. It is also found that an increasing positron concentration decreases the amplitude of the dust-ion-acousti shock waves.