Effect of Combined Kappa–Cairns distributed electrons on ion-acoustic solitary structures in electron–ion dusty plasma

Abstract We have studied the formation of arbitrary amplitude ion-acoustic solitary structures using the Sagdeev pseudo-potential approach in an unmagnetized dusty plasma system in the absence of collision whose constituents are Combined Kappa–Cairns distributed electrons, negative-charged stationary dust particulates, and adiabatic warm ions. This system supports both positive and negative potential conventional solitons along with the coexistence of these two solitons, double layers, and supersolitons of negative polarity. Different types of solitary structures along with the impacts of the plasma parameters, viz., Mach number, superthermal parameter, and nonthermal parameter, of this system on the amplitudes of these structures have been investigated by plotting the pseudo-potential with respect to the electrostatic potential. The formation of supersoliton after the formation of soliton has been illustrated using the mechanical analogy of phase portraits. The transitions of soliton to supersoliton and soliton to double layer have been illustrated.