Nonlinear excitations for the positron acoustic shock waves in dissipative nonextensive electron-positron-ion plasmas
- 1 March 2017
- journal article
- research article
- Published by AIP Publishing in Physics of Plasmas
- Vol. 24 (3)
- https://doi.org/10.1063/1.4977909
Abstract
Positron acoustic shock waves (PASHWs) in unmagnetized electron-positron-ion (e-p-i) plasmas consisting of mobile cold positrons, immobile positive ions, q-nonextensive distributed electrons, and hot positrons are studied. The cold positron kinematic viscosity is considered and the reductive perturbation technique is used to derive the Burgers equation. Applying traveling wave transformation, the Burgers equation is transformed to a one dimensional dynamical system. All possible vector fields corresponding to the dynamical system are presented. We have analyzed the dynamical system with the help of potential energy, which helps to identify the stability and instability of the equilibrium points. It is found that the viscous force acting on cold mobile positron fluid is a source of dissipation and is responsible for the formation of the PASHWs. Furthermore, fully nonlinear arbitrary amplitude positron acoustic waves are also studied applying the theory of planar dynamical systems. It is also observed that the fundamental features of the small amplitude and arbitrary amplitude PASHWs are significantly affected by the effect of the physical parameters , and U. This work can be useful to understand the qualitative changes in the dynamics of nonlinear small amplitude and fully nonlinear arbitrary amplitude PASHWs in solar wind, ionosphere, lower part of magnetosphere, and auroral acceleration regions.
Keywords
This publication has 27 references indexed in Scilit:
- Ion acoustic solitary waves in electron-positron-ion magneto-rotating Lorentzian plasmasAstrophysics and Space Science, 2013
- Ion acoustic solitary waves in an electron–positron–ion plasma with non-thermal electronsPlasma Physics and Controlled Fusion, 2011
- Ion acoustic solitary wave in electron-positron-ion plasma: effect of Landau dampingAstrophysics and Space Science, 2010
- Ion acoustic shock waves in weakly relativistic and dissipative plasmas with nonthermal electrons and thermal positronsAstrophysics and Space Science, 2010
- Small-amplitude positron-acoustic double layersPhysics of Plasmas, 2010
- Nonlinear positron acoustic solitary wavesPhysics of Plasmas, 2009
- Nonlinear excitations in electron-positron-ion plasmas in accretion disks of active galactic nucleiPhysics of Plasmas, 2007
- Ion-acoustic envelope solitons in electron-positron-ion plasmasPhysical Review E, 2002
- Positron-acoustic Waves in an Electron - Positron Plasma with an Electron BeamAustralian Journal of Physics, 1996
- Ion-acoustic solitons in electron–positron–ion plasmasPhysics of Plasmas, 1995