الفهرس 
Introduction
Electron-Positron-Ion Plasmas: Application and MotivationOnly 14 pages are availabe for public view
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Abstract
By using a hydrodynamic model, Zakharov-Kuznetsov (ZK) equation is derived for the Langmuir waves propagating in a rotating magnetoplasma consisting of electrons and positrons as well as stationary positive ions. The existence condition of the Langmuir waves as well as the pulse-shaped localized (solitary) solution of the ZK equation are obtained. Numerical analysis revealed that the phase velocity and the profile of the solitary pulses are significantly affected by the ion-to-electron density ratio and the positron-to-electron temperature. In the vicinity of the critical density of the positive ions, the ZK equation is not appropriate to describe the evolution of the system. So, we derived an extended Zakharov-Kuznetsov (EZK) equation. This equation admits both solitary and shock solutions. The conditions for propagating the nonlinear structures are examined numerically. At high speed of electrons and positrons, one cannot exclude the relativistic effect. Therefore, we extend our analysis to include the relativistic effects of both electrons and positrons and we derived both ZK and EZK equations with relativistic corrections in mind consideration. We gave a glimpse of the conceptual as well as the effects of the electron and positron relativistic streaming factors on the profiles of both solitary and shock excitations. The existence conditions for solitary and shock pulses are investigated analytically and numerically, which indicated that these conditions are strongly dependent on the electron/positron relativistic streaming factor.