Electron-Acoustic Shock Waves in Cylindrical and Spherical Geometry with Non-Extensive Electrons

Abstract

We consider nonplanar electron acoustic shock waves composed of stationary ions, cold and non-extensive hot electrons under multiple temperature electrons model in unmagnetized plasma. In this model Modified Korteweg-de Vries–Burger (KdVB) equation is obtained in the cylindrical/spherical coordinates. On the basis of the solutions of KdVB equation, the variation of shock waves features (amplitude, velocity, and width) with different plasma parameters are analyzed. Dissipation effect is introduced in the model by means of kinematic viscosity term. KdVB equation always leads to monotonic solitons and no oscillatory part or peak may appear. It is observed that the combined effect of particle density \((\alpha )\), nonextensivity parameter q, electron temperature ratio \((\theta )\), and kinetic viscosity \(({{\eta }_{0}})\) significantly changes the properties of shock waves in nonplanar geometry especially in spherical coordinates. Results could be helpful to analyze the soliton features in laboratory and in the space environments.