Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons
El-Labany, S., El-Taibany, W., El-Bedwehy, N., El-Shafeay, N. (2020). Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons. EKB Journal Management System, 1(2), 99-114. doi: 10.21608/ajbas.2020.26486.1012
Salah K. El-Labany; Wael F. El-Taibany; Nabila A. El-Bedwehy; Nora A. El-Shafeay. "Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons". EKB Journal Management System, 1, 2, 2020, 99-114. doi: 10.21608/ajbas.2020.26486.1012
El-Labany, S., El-Taibany, W., El-Bedwehy, N., El-Shafeay, N. (2020). 'Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons', EKB Journal Management System, 1(2), pp. 99-114. doi: 10.21608/ajbas.2020.26486.1012
El-Labany, S., El-Taibany, W., El-Bedwehy, N., El-Shafeay, N. Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons. EKB Journal Management System, 2020; 1(2): 99-114. doi: 10.21608/ajbas.2020.26486.1012

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, Pages 99-114    PDF (526.76 K)
Document Type: Original Article
DOI: 10.21608/ajbas.2020.26486.1012
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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