Ion acoustic shock waves in dissipative electron–positron–ion plasmas with weak transverse perturbations

Abstract

Ion acoustic shock waves (IASWs) are studied in an unmagnetized plasma consisting of electrons, positrons and adiabatically hot positive ions. This is done by deriving the Kadomstev-Petviashvilli-Burger (KPB) equation under the small-amplitude perturbation expansion method. The dissipation is introduced by taking into account the kinematic viscosity among the plasma constituents. The dependence of the IASWs on various plasma parameters is explored in detail. It is observed that an increasing positron concentration decreases the amplitude of the IASW. Furthermore, it is found that an increasing η 0 not only enhances the amplitude appreciably but also modifies the steepness of the shock front. Limiting cases of the KPB equation are also discussed. It is found that the amplitude of the KP soliton decreases with an increase in positron concentration. An interesting new equation in the limiting case (i.e. the Burger-KP equation) is given and its comparison with the KPB equation is also presented. The relevance of the present study with regard to the dense astrophysical environments is also pointed out.

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

“…It is clear that at higher positron concentration, the driving force of the wave diminishes and consequently the shock declines. This is consistent with the result in Shah andSaeed (2009) andMasood et al (2009) for relativistic and nonrelativistic e-p-i plasma with the kinematic viscosity among the plasma constituents. It is also obvious that the amplitude increases with increasing values of spectral index k. This result consistent with the one made by Boubakour et al (2009) for ion acoustic solitary waves in e-p-i plasma with superthermal electrons.…”

“…It is found that an increase in η 0 (meaning an increase in dissipation) considerably enhances the amplitude as well as the steepness of the shock front. This result congruent with the one made by Masood et al (2009) in ep-i plasma consisting adiabatically hot positive ions and by Masood et al (2008b) in quantum e-p-i plasma. This result also is in agreement with the result of Shah and Saeed (2009) for e-p-i plasma with the Boltzmann distribution of electron.…”

“…As a consequence, a high-energy tail appears in the distribution function of the particles. Many authors have investigated ion acoustic waves in e-p-i plasma with electrons which evolve far away from their thermodynamic equilibrium (Alinejad 2010; Pakzad 2009aPakzad , 2009bTribeche and Boubakour 2009;Boubakour et al 2009). Recently, N. Boubakour have studied ion acoustic solitary waves in e-p-i plasma with superthermal electrons and showed that cusped ionacoustic solitons can be appeared in the presence of superthermal electrons.…”

Effect of q-nonextensive distribution of electrons on ion acoustic shock waves in dissipative plasma

“…It is found that an increasing in η • (meaning an increasing in dissipation) considerably enhances the amplitude as well as the steepness of the shock front. This result congruent with the one made by Masood et al (2009) in e-p-i plasma consisting adiabatically hot positive ions and by Masood et al (2008) in quantum e-p-i plasmas. This result also is in agreement with the result of Shah et al (2009) for e-p-i plasma with the Boltzmann distribution of electron.…”

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

“…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.…”