Nonlinear Korteweg-de Vries-Burger equation for ion acoustic shock waves in a weakly relativistic electron-positron-ion plasma with thermal ions

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3328805· OSTI ID:21347172

Saeed, R; Shah, Asif ^[1]

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1. 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, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 17; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
ATMOSPHERES
CHARGED PARTICLES
COSMIC RADIO SOURCES
DIFFERENTIAL EQUATIONS
ELECTRON TEMPERATURE
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
ION ACOUSTIC WAVES
ION TEMPERATURE
ION WAVES
IONS
KORTEWEG-DE VRIES EQUATION
LEPTONS
MATHEMATICS
MATTER
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA WAVES
POSITRONS
PULSARS
RELATIVISTIC PLASMA
SHOCK WAVES
STELLAR ATMOSPHERES
WAVE PROPAGATION