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Title:
Time-fractional study of electron acoustic solitary waves in plasma of cold electron and two isothermal ions
Authors:
El-Wakil, S. A.; Abulwafa, Essam M.; El-Shewy, Emad K.; Mahmoud, Abeer A.; Mahmoud
Affiliation:
AA(Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt ()), AB(Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt ()), AC(Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt ()), AD(Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt ()), AE()
Publication:
Journal of Plasma Physics, Volume 78, Issue 6, pp. 641-649
Publication Date:
12/2012
Origin:
CUP
Abstract Copyright:
(c) 2012: Copyright © Cambridge University Press 2012
DOI:
10.1017/S0022377812000530
Bibliographic Code:
2012JPlPh..78..641E

Abstract

In this paper, a homogeneous system of unmagnetized collisionless plasma consisting of a cold electron fluid, low-temperature ion obeying Boltzmann-type distribution and high-temperature ion obeying non-thermal distribution is considered. The perturbation method with two different forms of stretching will be considered to drive the KdV and modified KdV (mKdV) equations. The Agrawal's method is applied to formulate the time-fractional KdV and mKdV equations. A variational iteration method is used to solve these equations. The results show that the fractional order of the differential equations can be used to modify the shape of the solitary pulse instead of adding higher order dissipation terms to the equations. This study may be useful to construct the compressive and rarefactive electrostatic potential pulses associated with the broadband electrostatic noise type emissions.
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