Propagation of dust ion acoustic solitary waves in dusty plasma with Boltzmann electrons

Abstract

In this multispecies plasma model, consisting of negative mobile dusts, non-thermal ions and Boltzmann electrons, dust-ion acoustic solitary waves are studied through reductive perturbative technique by deriving corresponding Korteweg-de Vries (KdV) equation. The number of dust charge contained in a dust particle (Z_d) and the streaming speeds of mobile dusts (u_d0) and ions (u_i0) are observed to play very important role to form dust-ion acoustic compressive and rarefactive KdV solitons. Remarkably, some initial streaming of dust (u_d0) are found to be instrumental for both compressive and rarefactive KdV solitons in a short range of Z_d separating both kinds by some asymptotic lines. Also, the presence of low dust charges and lower ion streaming, compressive and rarefactive KdV solitons of either concave or convex characters are shown to reflect. For the higher streaming of mobile dusts, the amplitudes of the rarefactive KdV solitons characteristically changes from higher to lower showing convex character for this plasma model. A rigorous theoretical investigation has been made to show how the number of dust charge contained in a dust particle (Z_d) drastically change the amplitudes of the compressive and rarefactive KdV solitons.