Nonlinear Electron Acoustic Waves in Dissipative Plasma with Superthermal Electrons

Abstract

The nonlinear properties of small amplitude electron-acoustic ( EA) solitary and shock waves in a homogeneous system of unmagnetized collisionless plasma consisted of a cold electron fluid and superthermal hot electrons obeying superthermal distribution, and stationary ions have been investigated. A reductive perturbation method was employed to obtain the Kadomstev-Petviashvili-Burgers (KP-Brugers) equation. Some solutions of physical interest are obtained. These solutions are related to soliton, monotonic and oscillatory shock waves and their behaviour are shown graphically. The formation of these solutions depends crucially on the value of the Burgers term and the plasma parameters as well. By using the tangent hyperbolic (tanh) method, another interesting type of solution which is a combination between shock and soliton waves is obtained . The topology of phase portrait and potential diagram of the KP-Brugers equation is investigated.The advantage of using this method is that one can predict different classes of the travelling wave solutions according to different phase orbits. The obtained results may be helpful in better understanding of waves propagation in various space plasma environments as well as in inertial confinement fusion laboratory plasmas.

Effect of positron density and temperature on the electron acoustic waves in a magnetized dissipative plasma

“…Generally, the electrons and positrons are highly energetic particles present in space and astrophysical plasmas and are often characterized by non‐Maxwellian particle distribution with high energy tail known as kappa distribution. Kappa distribution has been used by several authors for the study of solitary structures in multi‐component plasmas . Because the electrons and positrons are the species of same masses and opposite charges, therefore in e–p–i plasma, the restoring force is provided by high energy positrons as well as hot electrons.…”

“…El‐Bedwehy and Moslem studied the ion acoustic shock waves in e‐p‐i magnetoplasma with superthermal electrons and positrons and found the formation of non‐linear pulses of positive polarity. El‐Hanbaly et al derived the Kadomstev–Petviashvili–Burgers equation by using the reductive perturbation method and studied the two‐dimensional (2D) EA shock waves in a non‐extensive and dissipative plasma consisting of warm ions. From the above literature review, it is clear that the study of ZK Burgers equation with electrons and positrons following kappa distribution in magnetized e–p–i plasma is not reported.…”