Linear and nonlinear electromagnetic waves in a magnetized quantum electron-positron plasma

2015 ◽  
Vol 26 (05) ◽  
pp. 1550058 ◽  
Author(s):  
Mahdi Momeni
Keyword(s):  
Electromagnetic Waves ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Soliton Solutions ◽  
Quantum Corrections ◽  
Nonlinear Properties ◽  
Electron Positron ◽  
Quantum Electron ◽  
Qhd Model ◽  
Linear And Nonlinear

The linear and nonlinear properties of the electromagnetic waves are investigated in a magnetized quantum electron–positron (e–p) plasma by employing the quantum hydrodynamic (QHD) model. It is found that the quantum dispersion relation in comparison with the classical version is modified by the quantum corrections through quantum diffraction and statistics. The standard reductive perturbation technique is used to derive the Korteweg–de Vries (KdV) equation. The exact soliton solutions and the existence regions of the solitary waves are also defined precisely. It is also shown that the results are affected by the quantum corrections.

Overtaking Collision and Phase Shifts of Dust Acoustic Multi-Solitons in a Four Component Dusty Plasma with Nonthermal Electrons

2015 ◽  
Vol 70 (9) ◽  
pp. 703-711 ◽  
Author(s):  
Gurudas Mandal ◽  
Kaushik Roy ◽  
Anindita Paul ◽  
Asit Saha ◽  
Prasanta Chatterjee
Keyword(s):  
Dusty Plasma ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Soliton Solutions ◽  
Phase Shifts ◽  
Nonlinear Propagation ◽  
Bilinear Method ◽  
Nonthermal Electrons ◽  
Dust Acoustic ◽  
Overtaking Collision

AbstractThe nonlinear propagation and interaction of dust acoustic multi-solitons in a four component dusty plasma consisting of negatively and positively charged cold dust fluids, non-thermal electrons, and ions were investigated. By employing reductive perturbation technique (RPT), we obtained Korteweged–de Vries (KdV) equation for our system. With the help of Hirota’s bilinear method, we derived two-soliton and three-soliton solutions of the KdV equation. Phase shifts of two solitons and three solitons after collision are discussed. It was observed that the parameters α, β, β1, μe, μi, and σ play a significant role in the formation of two-soliton and three-soliton solutions. The effect of the parameter β1 on the profiles of two soliton and three soliton is shown in detail.

Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons

2016 ◽  
Vol 82 (1) ◽  
Author(s):  
M. Irfan ◽  
S. Ali ◽  
Arshad M. Mirza
Keyword(s):  
Perturbation Technique ◽  
Relativistic Electrons ◽  
Number Density ◽  
Astrophysical Plasmas ◽  
Plane Wave Solution ◽  
Nonlinear Properties ◽  
De Vries ◽  
Solitary And Shock Waves ◽  
Linear And Nonlinear ◽  
Nonlinear Wave Solutions

Two-fluid quantum magnetohydrodynamic (QMHD) equations are employed to investigate linear and nonlinear properties of the magnetosonic waves in a semi-relativistic dense plasma accounting for degenerate relativistic electrons. In the linear analysis, a plane wave solution is used to derive the dispersion relation of magnetosonic waves, which is significantly modified due to relativistic degenerate electrons. However, for a nonlinear investigation of solitary and shock waves, we employ the reductive perturbation technique for the derivation of Korteweg–de Vries (KdV) and Korteweg–de Vries Burger (KdVB) equations, admitting nonlinear wave solutions. Numerically, it is shown that the wave frequency decreases to attain a lowest possible value at a certain critical number density $N_{c}^{(0)}$, and then increases beyond $N_{c}^{(0)}$ as the plasma number density increases. Moreover, the relativistic electrons and associated pressure degeneracy lead to a reduction in the spatial extents of the magnetosonic waves and a strengthening of the shock amplitude. The results might be important for understanding the linear and nonlinear magnetosonic excitations in dense astrophysical plasmas, such as in white dwarfs, magnetars and neutron stars, etc., where relativistic degenerate electrons are present.

Current gradient-driven linear and nonlinear electromagnetic waves in a magnetized electron-positron plasma

1987 ◽  
Vol 135 (2) ◽  
pp. 211-218 ◽  
Author(s):  
R. Bharuthram ◽  
P. K. Shukla ◽  
M. Y. Yu ◽  
V. N. Pavlenko
Keyword(s):  
Electromagnetic Waves ◽  
Electron Positron ◽  
Linear And Nonlinear

scholarly journals Dispersive MHD waves and alfvenons in charge non-neutral plasmas

2008 ◽  
Vol 15 (4) ◽  
pp. 681-693 ◽  
Author(s):  
K. Stasiewicz ◽  
J. Ekeberg
Keyword(s):  
Soliton Solutions ◽  
Theoretical Models ◽  
Mhd Waves ◽  
Space Plasmas ◽  
Charge Effects ◽  
Novel Technique ◽  
Solitary Structures ◽  
Spatial Dimensions ◽  
Electric Potentials ◽  
Linear And Nonlinear

Abstract. Dispersive properties of linear and nonlinear MHD waves, including shear, kinetic, electron inertial Alfvén, and slow and fast magnetosonic waves are analyzed using both analytical expansions and a novel technique of dispersion diagrams. The analysis is extended to explicitly include space charge effects in non-neutral plasmas. Nonlinear soliton solutions, here called alfvenons, are found to represent either convergent or divergent electric field structures with electric potentials and spatial dimensions similar to those observed by satellites in auroral regions. Similar solitary structures are postulated to be created in the solar corona, where fast alfvenons can provide acceleration of electrons to hundreds of keV during flares. Slow alfvenons driven by chromospheric convection produce positive potentials that can account for the acceleration of solar wind ions to 300–800 km/s. New results are discussed in the context of observations and other theoretical models for nonlinear Alfvén waves in space plasmas.

Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid

2016 ◽  
Vol 27 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Zi-Jian Xiao ◽  
Bo Tian ◽  
Hui-Ling Zhen ◽  
Jun Chai ◽  
Xiao-Yu Wu
Keyword(s):  
Bäcklund Transformation ◽  
Kdv Equation ◽  
Soliton Solutions ◽  
Backlund Transformation
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