Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons
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 computati...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/529121 |
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| author | S. A. El-Wakil Essam M. Abulwafa E. K. El-Shewy H. G. Abdelwahed Hamdi M. Abd-El-Hamid |
| author_facet | S. A. El-Wakil Essam M. Abulwafa E. K. El-Shewy H. G. Abdelwahed Hamdi M. Abd-El-Hamid |
| author_sort | S. A. El-Wakil |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0a94e4d485a24dc58ee37b80b09b251f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0a94e4d485a24dc58ee37b80b09b251f2025-08-20T03:55:27ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/529121529121Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal ElectronsS. A. El-Wakil0Essam M. Abulwafa1E. K. El-Shewy2H. G. Abdelwahed3Hamdi M. Abd-El-Hamid4Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTheoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTheoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTheoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptTheoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptThe 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.http://dx.doi.org/10.1155/2012/529121 |
| spellingShingle | S. A. El-Wakil Essam M. Abulwafa E. K. El-Shewy H. G. Abdelwahed Hamdi M. Abd-El-Hamid Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons Advances in Mathematical Physics |
| title | Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons |
| title_full | Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons |
| title_fullStr | Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons |
| title_full_unstemmed | Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons |
| title_short | Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons |
| title_sort | nonlinear waveforms for ion acoustic waves in weakly relativistic plasma of warm ion fluid and isothermal electrons |
| url | http://dx.doi.org/10.1155/2012/529121 |
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