Acoustic solitons in a magnetized quantum electron-positron-ion plasma with relativistic degenerate electrons and positrons pressure

Abstract In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing equations of ion acoustic waves. An interesting soliton-cnoidal wave solution of the Korteweg-de Vries equation and its quasi-soliton behaviour are presented. The influence of electron superthermality, positron superthermality and positron concentration ratio on characteristics of the quasi-soliton is confirmed to be significant.

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Surface waves in magnetized quantum electron-positron plasmas

Journal of Plasma Physics ◽

10.1017/s0022377809990055 ◽

2009 ◽

Vol 76 (1) ◽

pp. 87-99 ◽

Cited By ~ 26

Author(s):

A.P. MISRA ◽

N.K. GHOSH ◽

P.K. SHUKLA

Keyword(s):

Magnetic Field ◽

Surface Waves ◽

Boundary Surface ◽

Electron Positron ◽

Electrons And Positrons ◽

Quantum Electron ◽

Special Cases ◽

General Dispersion ◽

Singular Wave ◽

The Magnetic Field

AbstractThe dispersion properties of electrostatic surface waves propagating along the interface between a quantum magnetoplasma composed of electrons and positrons, and vacuum are studied by using a quantum magnetohydrodynamic plasma model. The general dispersion relation for arbitrary orientation of the magnetic field and the propagation vector is derived and analyzed in some special cases of interest (viz. when the magnetic field is directed parallel and perpendicular to the boundary surface). It is found that the quantum effects facilitate the propagation of electrostatic surface modes in a dense magnetoplasma. The effect of the external magnetic field is found to increase the frequency of the quantum surface wave. The existence of a singular wave on the boundary surface is also proved, and its properties are analyzed numerically. It is shown that the new wave characteristics appear due to the Rayleigh type of the wave.

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Semiclassical relativistic fluid theory for electrostatic envelope modes in dense electron–positron–ion plasmas: Modulational instability and rogue waves

Journal of Plasma Physics ◽

10.1017/s0022377813001323 ◽

2013 ◽

Vol 79 (6) ◽

pp. 1089-1094 ◽

Cited By ~ 14

Author(s):

IOANNIS KOURAKIS ◽

MICHAEL MC KERR ◽

ATA UR-RAHMAN

Keyword(s):

Fluid Model ◽

Modulational Instability ◽

Rogue Waves ◽

Relativistic Electrons ◽

Relativistic Fluid ◽

Ion Plasma ◽

Electron Positron ◽

Electrons And Positrons ◽

Perturbative Method ◽

Fluid Theory

AbstractA fluid model is used to describe the propagation of envelope structures in an ion plasma under the influence of the action of weakly relativistic electrons and positrons. A multiscale perturbative method is used to derive a nonlinear Schrödinger equation for the envelope amplitude. Criteria for modulational instability, which occurs for small values of the carrier wavenumber (long carrier wavelengths), are derived. The occurrence of rogue waves is briefly discussed.

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