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The stability of the dust acoustic waves under transverse perturbations in a magnetized and collisionless dusty plasma

Published online by Cambridge University Press:  13 December 2013

Dong-Ning Gao ,
Xin Qi ,
Xue-Ren Hong ,
Xue Yang ,
Wen-Shan Duan  and
Lei Yang
Dong-Ning Gao
Affiliation:
College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou, 730070 and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Xin Qi
Affiliation:
College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou, 730070 and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Xue-Ren Hong
Affiliation:
College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou, 730070 and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Xue Yang
Affiliation:
College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou, 730070 and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Wen-Shan Duan*
Affiliation:
College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou, 730070 and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Lei Yang*
Affiliation:
College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU & IMP CAS, Northwest Normal University, Lanzhou, 730070 and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China Department of Physics, Lanzhou University, Lanzhou 730000, China
*
†Email address for correspondence: ([email protected] and [email protected]).
†Email address for correspondence: ([email protected] and [email protected]).
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Abstract

Numerical and theoretical investigations are carried out for the stability of the dust acoustic waves (DAWs) under the transverse perturbation in a two-ion temperature magnetized and collisionless dusty plasma. The Zakharov-Kuznetsov (ZK) equation, modified ZK equation, and Extended ZK (EZK) equation of the DAWs are given by using the reductive perturbation technique. The cut-off frequency is obtained by applying higher-order transverse perturbations to the soliton solution of the EZK equation. The propagation velocity of solitary waves, the real cut-off frequency, as well as the growth rate of the higher-order perturbation to the solitary wave are obtained.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 3 , June 2014 , pp. 425 - 436
Copyright
Copyright © Cambridge University Press 2013 

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