Planar and non-planar ion acoustic shock waves in electron–positron–ion plasmas

2010

In this paper, the ion-acoustic solitons in a weakly relativistic electron-positron-ion plasma have been investigated. Relativistic ions, Maxwell-Boltzmann distributed positrons and nonthermal electrons are considered in collisionless warm plasma. Using a reductive perturbation theory, a Korteweg-de Vries (KdV) equation is derived, and the relativistic effect on the solitons is studied. It is found that the amplitude of solitary waves of the KdV equation diverges at the critical values of plasma parameters. Finally, in this situation, the solitons of a modified KdV (mKdV) equation with finite amplitude is derived.

Section: Derivation Of Kdv Equationmentioning

confidence: 99%

Ion acoustic solitons of KdV and modified KdV equations in weakly relativistic plasma containing nonthermal electron, positron and warm ion

2010

“…Ion-acoustic shock waves were first observed in a novel plasma device called Double Plasma device . Recently, Masood et al (2008a) have investigated ion acoustic shock waves in electron-positron-ion plasmas. They showed that the positron concentration, ratio of ion to electron temperature, and the plasma kinematic viscosity significantly modifies the shock structure.…”

Section: Introductionmentioning

confidence: 99%

Ion acoustic shock waves in dissipative plasma with superthermal electrons and positrons

2010

Ion acoustic shock waves (IASWs) are studied in a plasma consisting of electrons, positrons and ions. Boltzmann distributed positrons and superthermal electrons are considered in the plasma. The dissipation is taken into account the kinematic viscosity among the plasma constituents. The Korteweg-de Vries-Burgers (KdV-Burgers) equation is derived by reductive perturbation method. Shock waves are solutions of KdV-Burgers equation. It is observed that an increasing positron concentration decreases the amplitude of the waves. Furthermore, in the existence of the kinematic viscosity among the plasma, the shock wave structure appears. The effects of ion kinematic viscosity (η 0 ) and the superthermal parameter (k) on the ion acoustic waves are found.

“…As a consequence, a high-energy tail appears in the distribution function of the particles. Only few investigations have been reported on the study of ion acoustic shock waves in relativistic plasmas (Shah and Saeed 2009;Masood et al 2008;Masood et al 2009). The aim of the present paper is study of ion-acoustic shock waves in plasmas consisting of relativistic ions, Maxwell-Boltzmann distributed positrons and nonthermal electrons.…”

Section: Introductionmentioning

confidence: 99%

Ion acoustic shock waves in weakly relativistic and dissipative plasmas with nonthermal electrons and thermal positrons

Javidan

2010

Ion acoustic shock waves in dissipative plasmas are studied. The target medium contains Relativistic ions, nonthermal electrons and positrons with MaxwellBoltzmann distribution. Kinematic viscosity among the plasma constituents has been considered. The effects of kinematic viscosity on the general behavior of plasma and specifically on nonthermal distribution of electrons are studied. Results would be helpful for understanding the localized structures that may occur in space plasmas.