Dust-ion-acoustic solitary and shock waves in a multi-ion dusty plasma with Kaniadakis distributed nonthermal electrons

An investigation has been carried out to study the basic properties of dust-ion-acoustic (DIA) solitary and shock waves associated with an electronegative dusty plasma system consisting of Kaniadakis distributed nonthermal cometary electrons, inertial positive and negative Oxygen ions, and arbitrarily charged stationary dust particles. A set of hydrodynamic equations is used to derive the Korteweg–de Vries (K-dV) and modified K-dV equations involving the DIA solitary waves in the framework of the reductive perturbation technique. Furthermore, the shock wave excitations are also investigated considering the kinematic viscous forces acting on the positive and negative ion fluids by deriving the K-dV Burger and modified K-dV Burger equations. It is seen that the presence of the considered plasma parameters significantly modifies the basic features of these waves.