Electron Acoustic Shock Waves in Nonthermal and Nonextensive Dissipative Plasmas in the Earth’s Inner Magnetosphere

In this article, we examine the linear and nonlinear features of the electron acoustic wave in nonthermal dissipative plasma comprising hot Cairns–Tsallis distributed electrons, inertial cold electrons, and stationary ions. For this purpose, the reductive perturbation method is used to derive linear and nonlinear equations for phase velocity and shock structures, respectively. Both nonthermal and nonextensive parameters significantly alter the phase velocity of the electron acoustic wave. Further, the amplitude of electron acoustic shock waves increases with decreasing nonthermal parameter and cold-to-hot electron density ratio. On the other hand, the larger values of the nonextensive parameter <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">q</i> enhance the amplitude of the shock wave. The same holds for the electric field associated with electron acoustic shocks. A comparison of our results with the observed value of the electric field/potential is also presented.