Nonlinear dust acoustic solitons and double layers (DLs) are investigated in a four component dusty plasma consisting of superthermal electrons, superthermal trapped ions, positive and negative dust grains. The reductive perturbation method is employed to derive Schamel Korteweg de Vries (S-KdV) equation and modified Schamel Korteweg de Vries (mSKdV) equation.
It is found that the nonlinear structures only with negative potential (rarefactive) can be formed in a two-dust (both positive and negative) plasma in the presence of superthermal trapped ions. In the earlier investigations, it was reported that both rarefactive (dip) and compressive (hump) nonlinear structures are possible in the plasma having both positive and negative dust species in the absence of trapped ions. Here, it is pointed out that the ions trapping does not allow the formation of compressive nonlinear structures. The results can be used to understand the dynamics of small amplitude solitary waves and double layers in dusty plasmas of cometary tails, planetary magnetospheres and interstellar clouds.
PACS numbers: 52.27.Cm, 52.30.Ex, 52.35.Sb