Dust–ion-acoustic waves in a κ−nonthermal magnetized collisional dusty plasma with opposite polarity dust

A four-component magnetized collisional κ−nonthermal plasma containing stationary dust grains of opposite charges, inertial ion fluid, and non-inertial κ−distributed superthermal electrons has been considered to study different modes of dust–ion-acoustic waves (DIAWs) theoretically and numerically. The ion-neutral collisional effect and the adiabatic effect of warm ions have been taken into account to study the properties of DIAWs in the considered plasma. A reductive perturbation method is adopted to derive the damped Zakharov–Kuznetsov–Burgers (dZKB) equation and the solution (solitary and shock) of the dZKB equation is used to examine the basic features (e.g., speed, amplitude, energy, width, etc.) of dust–ion-acoustic solitary and shock waves. The influence on the dust–ion-acoustic soliton and shock characteristics of relevant physical plasma parameters such as adiabaticity, superthermality, viscosity, obliqueness, magnetic field, the amount of charge residing onto the dust grains, collision effect is examined. Additionally, the impact of the coexistence of oppositely charged dust grains on the dynamical properties of dust–ion-acoustic soliton and shock waves is analyzed. The findings of this research work may be applied to examine the properties of DIAWs in experimental and space dusty plasmas, where the opposite polarity dust grains are present, adiabatic thermal pressure of warm ion and damping due to ion-neutral collision are accountable.