Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability

被引：113

作者：

Moslem, W. M. ^{[1
,3
]}

Ali, S. ^{[1
,4
]}

Shukla, P. K. ^{[1
,5
,6
,7
,8
,9
,10
]}

Tang, X. Y. ^{[1
,11
]}

Rowlands, G. ^{[2
]}

机构：

[1] Ruhr Univ Bochum, Fak Phys & Astron, Inst Theoret Phys 4, D-44780 Bochum, Germany

[2] Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England

[3] Suez Canal Univ, Dept Phys, Fac Ed, Port Said, Egypt

[4] Govt Coll Univ, Dept Phys, Lahore 54000, Pakistan

[5] Univ KwaZulu Natal, Sch Phys, Durban 4000, South Africa

[6] Max Planck Inst Extraterrest Phys, D-45741 Garching, Germany

[7] Umea Univ, Dept Phys, Ctr Nonlinear Phys, Umea 90187, Sweden

[8] Rutherford Appleton Lab, CCLRC Ctr Fundament Phys, Chilton, Didcot OX11 0QX, Oxon, England

[9] Univ Strathclyde, SUPA Dept Phys, Glasgow G4 0NG, Scotland

[10] Univ Tecn Lisboa, Inst Sup Tecn, GoLP Ctr Fis Plasmas, Lisbon 1049, Portugal

[11] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200240, Peoples R China

来源：

PHYSICS OF PLASMAS | 2007年 / 14卷 / 08期

关键词：

D O I：

10.1063/1.2757612

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

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页数：5

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