Volume 114, Number 2, April 2016
|Number of page(s)||6|
|Section||Physics of Gases, Plasmas and Electric Discharges|
|Published online||17 May 2016|
The effect of trapped electrons on the three-dimensional ion-acoustic shock wave in magnetized ionic-pair plasma
1 School of Mathematics and Statistics, Xi'an Jiaotong University - Xi'an, 710049, China
2 Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of Education, Xi'an Jiaotong University Xi'an, 710049, China
3 School of Public Health, Lanzhou University - Lanzhou, 730000, China
4 College of Humanities and Sciences, Northeast Normal University - Changchun, 130117, China
Received: 2 March 2016
Accepted: 2 May 2016
The effect of trapped electrons featuring vortex-like distribution on the nonlinear behavior of a three-dimensional ion-acoustic shock wave is investigated in a magnetized ionic-pair plasma. In the long-wave approximation, the dynamics of the shock wave is governed by the -dimensional Schamel-Zakharov-Kuznetsov-Burgers' equation due to the presence of trapped electrons and ion kinematic viscosity. By using the homogeneous balance principle and tanh function method, we obtain a novel exact shock wave solution of the equation. It is found for the first time that the trapped electrons can support a shock wave with only positive polarity.
PACS: 52.35.Fp – Electrostatic waves and oscillations (e.g., ion-acoustic waves) / 52.35.Sb – Solitons; BGK modes / 52.35.Tc – Shock waves and discontinuities
© EPLA, 2016
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