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

W. M. Moslem; S. Ali; P. K. Shukla; X. Y. Tang; G. Rowlands

doi:10.1063/1.2757612

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

W. M. Moslem^*
, S. Ali
, P. K. Shukla
, X. Y. Tang
, G. Rowlands

^*此作品的通讯作者

Ruhr University Bochum
Suez Canal University
Government College University Lahore
University of KwaZulu-Natal
Max Planck Institute for Extraterrestrial Physics
Umeå University
Rutherford Appleton Laboratory
University of Strathclyde
University of Lisbon
Shanghai Jiao Tong University
University of Warwick

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126 引用（Scopus）

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.

源语言	英语
文章编号	082308
期刊	Physics of Plasmas
卷	14
期	8
DOI	https://doi.org/10.1063/1.2757612
出版状态	已出版 - 2007
已对外发布	是

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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.",

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AU - Moslem, W. M.

AU - Ali, S.

AU - Shukla, P. K.

AU - Tang, X. Y.

AU - Rowlands, G.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

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DO - 10.1063/1.2757612

M3 - 文章

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

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