| Modulational instability of a weakly relativistic ion acoustic wave in a warm plasma with nonthermal electrons |
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| 作者姓名： | S. K. El-Labany M. S. Abdel Krim S. A. El-Warraki W. F.El-Taibany |
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| 作者单位： | Physics Department, Faculty of Science-Damietta, Mansoura University, Damietta El-Gedida, Egypt;Physics Department, Faculty of Science-Damietta, Mansoura University, Damietta El-Gedida, Egypt;Physics Department, Faculty of Science-Damietta, Mansoura University, Damietta El-Gedida, Egypt;Physics Department, Faculty of Science-Damietta, Mansoura University, Damietta El-Gedida, Egypt |
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| 摘 要： | An investigation has been made of modulational instability of a nonlinear ion acoustic wave in a weakly relativistic warm unmagnetized nonthermal plasma whose constituents are an inertial ion fluid and nonthermally distributed electrons. Up to the second order of the perturbation theory, a nonlinear Schr?dinger type (NST) equation for the complex amplitude of the perturbed ion density is obtained. The coefficients of this equation show that the relativistic effect, the finite ion temperature and the nonthermal electrons modify the condition of the modulational stability. The association between the small-wavenumber limit of the NST equation and the oscillatory solution of the Korteweg－de Varies equation, obtained by a reductive perturbation theory, is satisfied.
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| 关 键 词： | 调制不稳定性 热等离子体 离子声波 弱相对论 非热能电子 |
| 收稿时间： | 2002-11-15 |
Modulational instability of a weakly relativistic ion acoustic wave in a warm plasma with nonthermal electrons |
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| S. K. El-Labany,M. S. Abdel Krim,S. A. El-Warraki,W. F.El-Taibany.Modulational instability of a weakly relativistic ion acoustic wave in a warm plasma with nonthermal electrons[J].Chinese Physics B,2003,12(7):759-764. |
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| Authors: | S K El-Labany M S Abdel Krim S A El-Warraki and W FEl-Taibany |
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| Institution: | Physics Department, Faculty of Science-Damietta, Mansoura University, Damietta El-Gedida, Egypt |
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| Abstract: | An investigation has been made of modulational instability of a nonlinear ion acoustic wave in a weakly relativistic warm unmagnetized nonthermal plasma whose constituents are an inertial ion fluid and nonthermally distributed electrons. Up to the second order of the perturbation theory, a nonlinear Schr?dinger type (NST) equation for the complex amplitude of the perturbed ion density is obtained. The coefficients of this equation show that the relativistic effect, the finite ion temperature and the nonthermal electrons modify the condition of the modulational stability. The association between the small-wavenumber limit of the NST equation and the oscillatory solution of the Korteweg－de Varies equation, obtained by a reductive perturbation theory, is satisfied. |
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| Keywords: | derivative expansion method warm plasma ion acoustic waves modulational instability |
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