A complex plasma medium (containing Cairns nonthermal electron, adiabatically warm inertial ion, and stationary positively charged dust (PCD) species (making a system very complex) is considered. The effects of PCD species, electron adiabatic ion-temperature on ion-acoustic (IA) solitary waves (SWs) double layers (DLs) are investigated by the pseudo-potential approach, which valid for arbitrary...