Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons
Joint Authors
Abd-El-Hamid, Hamdi M.
Abdelwahed, H. G.
Abulwafa, Essam M.
El-Shewy, E. K.
El-Wakil, S. A.
Source
Advances in Mathematical Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small- but finite-amplitude electrostatic ion-acoustic waves in weakly relativistic plasma consisting of warm ions and isothermal electrons.
An algebraic method with computerized symbolic computation is applied in obtaining a series of exact solutions of the KdV equation.
Numerical studies have been made using plasma parameters which reveal different solutions, that is, bell-shaped solitary pulses, rational pulses, and solutions with singularity at finite points, which called “blowup” solutions in addition to the propagation of an explosive pulses.
The weakly relativistic effect is found to significantly change the basic properties (namely, the amplitude and the width) of the ion-acoustic waves.
The result of the present investigation may be applicable to some plasma environments, such as ionosphere region.
American Psychological Association (APA)
El-Wakil, S. A.& Abulwafa, Essam M.& El-Shewy, E. K.& Abdelwahed, H. G.& Abd-El-Hamid, Hamdi M.. 2012. Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons. Advances in Mathematical Physics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-478966
Modern Language Association (MLA)
El-Wakil, S. A.…[et al.]. Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons. Advances in Mathematical Physics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-478966
American Medical Association (AMA)
El-Wakil, S. A.& Abulwafa, Essam M.& El-Shewy, E. K.& Abdelwahed, H. G.& Abd-El-Hamid, Hamdi M.. Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons. Advances in Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-478966
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478966