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

^*Corresponding author for this work

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

Research output: Contribution to journal › Article › peer-review

127 Scopus citations

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.

Original language	English
Article number	082308
Journal	Physics of Plasmas
Volume	14
Issue number	8
DOIs	https://doi.org/10.1063/1.2757612
State	Published - 2007
Externally published	Yes

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10.1063/1.2757612

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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.

UR - https://www.scopus.com/pages/publications/34548439910

U2 - 10.1063/1.2757612

DO - 10.1063/1.2757612

M3 - 文章

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SN - 1070-664X

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ER -

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

Abstract

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