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

Journal Article · Wed Aug 15 00:00:00 EDT 2007 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2757612· OSTI ID:21072627

Moslem, W M; Ali, S; Shukla, P K; Tang, X Y; Rowlands, G ^[1]

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1. Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)

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.

• OSTI ID: 21072627
• Journal Information: Physics of Plasmas, Vol. 14, Issue 8; Other Information: DOI: 10.1063/1.2757612; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMPLITUDES
ION ACOUSTIC WAVES
MAGNETOHYDRODYNAMICS
MATHEMATICAL SOLUTIONS
PERIODICITY
PERTURBATION THEORY
PLASMA
PLASMA FLUID EQUATIONS
PLASMA INSTABILITY
STABILITY