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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. 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
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Journal or Publication Title: Physics of Plasmas
Publisher: American Institute of Physics
ISSN: 1070-664X
Date: August 2007
Volume: Vol.14
Number: No.8
Number of Pages: 5
Page Range: Article: 082308
Identification Number: 10.1063/1.2757612
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/31544

Data sourced from Thomson Reuters' Web of Knowledge

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