Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons | ||||
Alfarama Journal of Basic & Applied Sciences | ||||
Article 5, Volume 1, Issue 2, July 2020, Page 99-114 PDF (526.76 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/ajbas.2020.26486.1012 | ||||
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Authors | ||||
Salah K. El-Labany1; Wael F. El-Taibany2; Nabila A. El-Bedwehy3; Nora A. El-Shafeay 2 | ||||
1Department of Physics, Faculty of Science, Damietta University, New Damietta, Egypt | ||||
2Department of Physics, Faculty of Science, Damietta University, New Damietta, Egypt. | ||||
3Department of Mathematics, Faculty of Science, Damietta University, New Damietta, Egypt | ||||
Abstract | ||||
In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relativistic, warm, unmagnetized and adiabatic plasma whose constitutes are ion fluid and superthermally distributed electrons using the multiple scales approach. The basic system of equations is reduced to a finite wave number nonlinear Schrödinger-type equation at the second order of the perturbation theory and for small wave number limit the nonlinear Schrödinger-type equation is derived. Moreover the reductive perturbation technique is applied to this system and Korteweg-de Vries equation is obtained. For small wavenumber limit, it is found that the dispersion coefficient and nonlinear coefficient of the nonlinear Schrödinger-type equation are reduced to the coefficients of nonlinear Schrödinger-type equation obtained from Korteweg-de Vries (K-dV) equation. The dependence of the phase velocity and the group as well as the domain of the stability and the instability on the temperature ratio, the relativistic factor u_0/(C ) and the superthermal parameter is investigated. | ||||
Keywords | ||||
Ion acoustic waves; Weakly relativistic; Superthermal electrons | ||||
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