Solitary waves and double layers of dust-acoustic waves propagating in a non-ideal dusty plasma

Abstract

The dust-acoustic (DA) solitary waves and double layers structures of the dust-acoustic waves (DAWs) have been investigated in the framework of Gardner approach, in a non-ideal dusty plasma system consisting of electrons, ions and negatively charged dust grains. The non-ideal effects are examined by incorporating the van der Waals (VDW) equation of state for the dust grains. Using reductive perturbation technique, the Gardner's equation is derived. The effects of the non-ideal parameters on the profiles of solitary wave and double layer structures are discussed in some detail. It is found that the amplitude and width of both solitary waves and double layers are significantly modified by the non-ideal parameters. Also, it is shown that the wave phase velocity undergoes a significant change due to the presence of non-ideal effects in the system.