Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

摘要

The propagation characteristics of small-amplitude dust-acoustic (DA)solitary waves (SWs) and shocks are studied in an unmagnetized dusty plasmawith a pair of trapped positive and negative ions. Using the standard reductiveperturbation technique with two different scaling of stretched coordinates, theevolution equations for DA SWs and shocks are derived in the forms of complexKorteweg-de Vries (KdV) and complex Burgers' equations. The effects of dustcharge variation, the dust thermal pressure, and the ratios of positive tonegative ion number densities as well as the free to trapped ion temperatureson the profiles of SWs and shocks are analysed and discussed.