Ion Acoustic Solitary Waves in Degenerate Electron-Ion Plasmas

Employing the reductive perturbation method, a rigorous study of ion acoustic solitary waves (IASWs) in dense electron-ion plasmas is carried out leading to two evolution equations. Both the nonrelativistic and ultrarelativistic degenerate electron cases are considered. It is found that the relativi...

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Bibliographic Details
Published in:IEEE transactions on plasma science 2016-05, Vol.44 (5), p.842-848
Main Authors: El-Labany, S. K., El-Taibany, W. F., El-Samahy, A. E., Hafez, A. M., Atteya, A.
Format: Article
Language:English
Subjects:
Degenerate plasma
Dispersion
dressed soliton solution
Electrons
Electrostatics
Helium
Hydrogen
ion acoustic wave
Ions
Mathematical model
Oscillators
Plasma physics
Plasmas
relativistic degeneracy
white dwarfs
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Summary:Employing the reductive perturbation method, a rigorous study of ion acoustic solitary waves (IASWs) in dense electron-ion plasmas is carried out leading to two evolution equations. Both the nonrelativistic and ultrarelativistic degenerate electron cases are considered. It is found that the relativistic parameter R 0 affects the IASW phase velocity. Stationary solutions of the derived evolution equations are estimated. The higher order contributions of the nonlinear and dispersion terms are calculated. It has been shown that it is more important to be included in the case of nonrelativistic electrons. These findings are devoted to explaining the observed solitary waves propagating in the outer periphery of compact dense stars, which mostly consists of hydrogen and helium ions with degenerate electrons.
ISSN:0093-3813
1939-9375
DOI:10.1109/TPS.2016.2539258