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Title: Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons

Abstract

Nonlinear propagation of ion-acoustic waves is investigated in a one-dimensional, unmagnetized plasma consisting of positive ions, negative ions, and nonthermal electrons featuring Tsallis distribution that is penetrated by a negative-ion-beam. The classical Gardner equation is derived to describe nonlinear behavior of ion-acoustic waves in the considered plasma system via reductive perturbation technique. We convert the classical Gardner equation into the time-fractional Gardner equation by Agrawal's method, where the time-fractional term is under the sense of Riesz fractional derivative. Employing variational iteration method, we construct solitary wave solutions of the time-fractional Gardner equation with initial condition which depends on the nonlinear and dispersion coefficients. The effect of the plasma parameters on the compressive and rarefactive ion-acoustic solitary waves is also discussed in detail.

Authors:
;  [1];  [2]
  1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049 (China)
  2. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000 (China)
Publication Date:
OSTI Identifier:
22410309
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 22; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANIONS; ELECTRONS; ION ACOUSTIC WAVES; ION BEAMS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PERTURBATION THEORY; TIME DEPENDENCE; VARIATIONAL METHODS

Citation Formats

Guo, Shimin, E-mail: gsm861@126.com, Mei, Liquan, E-mail: lqmei@mail.xjtu.edu.cn, and Zhang, Zhengqiang, E-mail: zhangzhengq@lzu.edu.cn. Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons. United States: N. p., 2015. Web. doi:10.1063/1.4919264.
Guo, Shimin, E-mail: gsm861@126.com, Mei, Liquan, E-mail: lqmei@mail.xjtu.edu.cn, & Zhang, Zhengqiang, E-mail: zhangzhengq@lzu.edu.cn. Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons. United States. doi:10.1063/1.4919264.
Guo, Shimin, E-mail: gsm861@126.com, Mei, Liquan, E-mail: lqmei@mail.xjtu.edu.cn, and Zhang, Zhengqiang, E-mail: zhangzhengq@lzu.edu.cn. Fri . "Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons". United States. doi:10.1063/1.4919264.
@article{osti_22410309,
title = {Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons},
author = {Guo, Shimin, E-mail: gsm861@126.com and Mei, Liquan, E-mail: lqmei@mail.xjtu.edu.cn and Zhang, Zhengqiang, E-mail: zhangzhengq@lzu.edu.cn},
abstractNote = {Nonlinear propagation of ion-acoustic waves is investigated in a one-dimensional, unmagnetized plasma consisting of positive ions, negative ions, and nonthermal electrons featuring Tsallis distribution that is penetrated by a negative-ion-beam. The classical Gardner equation is derived to describe nonlinear behavior of ion-acoustic waves in the considered plasma system via reductive perturbation technique. We convert the classical Gardner equation into the time-fractional Gardner equation by Agrawal's method, where the time-fractional term is under the sense of Riesz fractional derivative. Employing variational iteration method, we construct solitary wave solutions of the time-fractional Gardner equation with initial condition which depends on the nonlinear and dispersion coefficients. The effect of the plasma parameters on the compressive and rarefactive ion-acoustic solitary waves is also discussed in detail.},
doi = {10.1063/1.4919264},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 5,
volume = 22,
place = {United States},
year = {2015},
month = {5}
}