| Issue |
EPL
Volume 114, Number 2, April 2016
|
|
|---|---|---|
| Article Number | 25002 | |
| Number of page(s) | 6 | |
| Section | Physics of Gases, Plasmas and Electric Discharges | |
| DOI | https://doi.org/10.1209/0295-5075/114/25002 | |
| 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
(a) gsm861@126.com (corresponding author)
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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