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Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability
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Moslem, W. M., Ali, S., Shukla, P. K., Tang, X. Y. and Rowlands, G. (George) (2007) Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability. Physics of Plasmas, Vol.14 (No.8). Article: 082308. doi:10.1063/1.2757612 ISSN 1070-664X.
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Official URL: http://dx.doi.org/10.1063/1.2757612
Abstract
By employing the quantum hydrodynamic model and the reductive perturbation technique, a quantum Zakharov-Kuznetsov (QZK) equation is derived for finite but small amplitude ion-acoustic waves in a quantum magnetoplasma. The extended Conte's truncation method is used to obtain the solitary, explosive, and periodic solutions of the QZK equation. Furthermore, the stability of the solitary wave solution of the QZK equation is investigated by using the small-k perturbation expansion method. (C) 2007 American Institute of Physics.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Journal or Publication Title: | Physics of Plasmas | ||||
Publisher: | American Institute of Physics | ||||
ISSN: | 1070-664X | ||||
Official Date: | August 2007 | ||||
Dates: |
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Volume: | Vol.14 | ||||
Number: | No.8 | ||||
Number of Pages: | 5 | ||||
Page Range: | Article: 082308 | ||||
DOI: | 10.1063/1.2757612 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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