Ionacoustic Gardner solitons in a fourcomponent nonextensive multiion plasma
Abstract
The nonlinear propagation of ionacoustic (IA) solitary waves (SWs) in a fourcomponent nonextensive multiion plasma system containing inertial positively charged light ions, negatively charged heavy ions, as well as noninertial nonextensive electrons and positrons has been theoretically investigated. The reductive perturbation method has been employed to derive the nonlinear equations, namely, Korteweg−deVries (KdV), modified KdV (mKdV), and Gardner equations. The basic features (viz. polarity, amplitude, width, etc.) of Gardner solitons are found to exist beyond the KdV limit and these IA Gardner solitons are qualitatively different from the KdV and mKdV solitons. It is observed that the basic features of IA SWs are modified by various plasma parameters (viz. electron and positron nonextensivity, electron number density to ion number density, and electron temperature to positron temperature, etc.) of the considered plasma system. The results obtained from this theoretical investigation may be useful in understanding the basic features of IA SWs propagating in both space and laboratory plasmas.
 Authors:
 Jahangirnagar University, Department of Physics (Bangladesh)
 Publication Date:
 OSTI Identifier:
 22614106
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Plasma Physics Reports; Journal Volume: 42; Journal Issue: 7; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ELECTRON DENSITY; ELECTRON TEMPERATURE; ELECTRONS; HEAVY IONS; ION DENSITY; KORTEWEGDE VRIES EQUATION; LIGHT IONS; NONLINEAR PROBLEMS; PERTURBATION THEORY; PLASMA; POSITRONS; SOLITONS; SOUND WAVES
Citation Formats
Jannat, N., Email: nilimajannat74@gmail.com, Ferdousi, M., and Mamun, A. A.. Ionacoustic Gardner solitons in a fourcomponent nonextensive multiion plasma. United States: N. p., 2016.
Web. doi:10.1134/S1063780X16070059.
Jannat, N., Email: nilimajannat74@gmail.com, Ferdousi, M., & Mamun, A. A.. Ionacoustic Gardner solitons in a fourcomponent nonextensive multiion plasma. United States. doi:10.1134/S1063780X16070059.
Jannat, N., Email: nilimajannat74@gmail.com, Ferdousi, M., and Mamun, A. A.. Fri .
"Ionacoustic Gardner solitons in a fourcomponent nonextensive multiion plasma". United States.
doi:10.1134/S1063780X16070059.
@article{osti_22614106,
title = {Ionacoustic Gardner solitons in a fourcomponent nonextensive multiion plasma},
author = {Jannat, N., Email: nilimajannat74@gmail.com and Ferdousi, M. and Mamun, A. A.},
abstractNote = {The nonlinear propagation of ionacoustic (IA) solitary waves (SWs) in a fourcomponent nonextensive multiion plasma system containing inertial positively charged light ions, negatively charged heavy ions, as well as noninertial nonextensive electrons and positrons has been theoretically investigated. The reductive perturbation method has been employed to derive the nonlinear equations, namely, Korteweg−deVries (KdV), modified KdV (mKdV), and Gardner equations. The basic features (viz. polarity, amplitude, width, etc.) of Gardner solitons are found to exist beyond the KdV limit and these IA Gardner solitons are qualitatively different from the KdV and mKdV solitons. It is observed that the basic features of IA SWs are modified by various plasma parameters (viz. electron and positron nonextensivity, electron number density to ion number density, and electron temperature to positron temperature, etc.) of the considered plasma system. The results obtained from this theoretical investigation may be useful in understanding the basic features of IA SWs propagating in both space and laboratory plasmas.},
doi = {10.1134/S1063780X16070059},
journal = {Plasma Physics Reports},
number = 7,
volume = 42,
place = {United States},
year = {Fri Jul 15 00:00:00 EDT 2016},
month = {Fri Jul 15 00:00:00 EDT 2016}
}

The linear and nonlinear propagations of dustionacoustic solitary waves (DIASWs) in a collisionless fourcomponent unmagnetized dusty plasma system containing nonextensive electrons, inertial negative ions, Maxwellian positive ions, and negatively charged static dust grains have been investigated theoretically. The linear properties are analyzed by using the normal mode analysis and the reductive perturbation method is used to derive the nonlinear equations, namely, the Kortewegde Vries (KdV), the modified KdV (mKdV), and the Gardner equations. The basic features (viz., polarity, amplitude, width, etc.) of Gardner solitons (GS) are found to exist beyond the KdV limit and these dustionacoustic GS are qualitatively differentmore »

Comment on 'Nonplanar dustion acoustic Gardner solitons in a dusty plasma with qnonextensive electron velocity distribution' [Phys. Plasmas 19, 033703 (2012)]
The basic characteristics of cylindrical and spherical dustion acoustic Gardner solitary waves in a dusty plasma with qnonextensive electron velocity distribution have been represented by Ghosh et al.[Phys. Plasmas 19, 033703 (2012)]. In this manuscript, they use the double layer stationary solution of the standard Gardner equation but they explain the whole article in terms of Gardner solitons which is completely incorrect. 
Nonplanar dustacoustic Gardner solitons in a fourcomponent dusty plasma
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Timefractional Gardner equation for ionacoustic waves in negativeionbeam plasma with negative ions and nonthermal nonextensive electrons
Nonlinear propagation of ionacoustic waves is investigated in a onedimensional, unmagnetized plasma consisting of positive ions, negative ions, and nonthermal electrons featuring Tsallis distribution that is penetrated by a negativeionbeam. The classical Gardner equation is derived to describe nonlinear behavior of ionacoustic waves in the considered plasma system via reductive perturbation technique. We convert the classical Gardner equation into the timefractional Gardner equation by Agrawal's method, where the timefractional term is under the sense of Riesz fractional derivative. Employing variational iteration method, we construct solitary wave solutions of the timefractional Gardner equation with initial condition which depends on the nonlinearmore »