Formation of electron acoustic shock wave in inner magnetospheric plasma

Nonlinear analysis for the finite amplitude electron acoustic wave is considered in a magnetized viscous plasma. The quantum hydrodynamic model is used to describe the thickly and thinly populated electron species with the Kappa distributive ion. Viscous effects have been considered for the thickly populated electron. By employing the standard reductive perturbation technique, the KdV–Burger equation has been derived, which exhibits shock waves. KdV–B equation transforms into the KdV equation when there is no viscous term. The form of the effective magnetic field is the Earth-like magnetospheric magnetic field. The shock fronts and the solitary structures have been studied with a variety of different plasma parameters. The results are essential in explaining the various phenomena in the inner magnetosphere. (author)