Solitary and Shock Structures in Two Temperature Magnetized Plasma

In this investigation, we have explored the dust ion-acoustic (DIA) shock and solitary structures in a three-component plasma system containing inertial ion fluid, negatively charged immobile dust grains, and two-temperature Cairns-Tsallis (CT) distributed electrons in presence of magnetic field. The nonlinear Korteweg de Vries-Burgers (KdVB) equation has been derived to obtain the shock wave solution. Furthermore, we have also obtained the solitary solution in the absence of viscosity. The analysis encompasses a thorough examination of DIA shocks by varying different plasma parameters. These findings hold significance for the understanding of electrostatic waves in the magnetosphere of Saturn, particularly in scenarios where two distinct temperatures of electrons coexist.