Nonlinear Korteweg-de Vries-Burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions
- Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000 (Pakistan)
The nonlinear propagation of ion acoustic waves in electron-positron-ion plasma comprising of Boltzmannian electrons, positrons, and relativistic thermal ions has been examined. The Korteweg-de Vries-Burger equation has been derived by reductive perturbation technique, and its shock like solution is determined analytically through tangent hyperbolic method. The effect of various plasma parameters on strength and structure of shock wave is investigated. The pert graphical view of the results has been presented for illustration. It is observed that strength and steepness of the shock wave enervate with an increase in the ion temperature, relativistic streaming factor, positron concentrations, electron temperature and they accrue with an increase in coefficient of kinematic viscosity. The convective, dispersive, and dissipative properties of the plasma are also discussed. It is determined that the electron temperature has remarkable influence on the propagation and structure of nonlinear wave in such relativistic plasmas. The numerical analysis has been done based on the typical numerical data from a pulsar magnetosphere.
- OSTI ID:
- 21347172
- Journal Information:
- Physics of Plasmas, Vol. 17, Issue 3; Other Information: DOI: 10.1063/1.3328805; (c) 2010 American Institute of Physics; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ELECTRON TEMPERATURE
ELECTRONS
ION ACOUSTIC WAVES
ION TEMPERATURE
IONS
KORTEWEG-DE VRIES EQUATION
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
POSITRONS
PULSARS
RELATIVISTIC PLASMA
SHOCK WAVES
STELLAR ATMOSPHERES
WAVE PROPAGATION
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
ATMOSPHERES
CHARGED PARTICLES
COSMIC RADIO SOURCES
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
ION WAVES
LEPTONS
MATHEMATICS
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA WAVES