Simulation Of Dust Ion-acoustic Waves In A Nonextensive Distributed Dusty Plasmas

The nonlinear propagations of dust ion-acoustic solitary waves in a collisionless four-component unmagnetized dusty plasma system containing nonextensive electrons,inertial negative ions,Maxwellian positive ions,and negatively charged static dust grains have been investigated by the particle-in-cell method.First,the reductive perturbation method is used to derive the nonlinear equation of dust ion acoustic solitary waves,namely,KdV,mKdV and Gardner equation.Second,the PIC method is used to simulate the propagation of dust ion-acoustic KdV,m KdV and Gardner solitons.By comparing the simulation results with those obtained from the traditional reductive perturbation method,it is observed that the rarefactive KdV solitons propagate stably at a low amplitude,and when the amplitude is increased,the prime wave form evolves and then gradually breaks into several small amplitude solitary waves near the tail of soliton structure.The compressive KdV solitons propagate unstably and oscillation arises near the tail of soliton structure.The mKdV solitons propagate unstably and oscillation arises near the tail of soliton structure.The finite amplitude rarefactive and compressive Gardner solitons seem to propagate stably.