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

Abstract

The nonplanar Burgers' equation for dust-ion-acoustic shock waves was derived for unmagnetized adiabaticdusty 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 themodi ed Burgers' equation for nonplanar geometry is numerically analyzed. The dependence of dust-ion-acoustic shockwaves on some plasma parameters is explored. It is observed that inclusion of the nonthermal electron distribution mod-i es the shock wave pro le signi cantly. Likewise, it is found that the nonplanar geometry effects have an important roleon the establishment of shock waves. It is also found that an increasing positron concentration decreases the amplitudeof the dust-ion-acoustic shock waves.