Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability
2007 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 14, no 8, 082308Article in journal (Refereed) PublishedText
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.
Place, publisher, year, edition, pages
Melville: American Institute of Physics (AIP), 2007. Vol. 14, no 8, 082308
dusty plasmas, acoustic-waves, stability, derivation, solitons
Fusion, Plasma and Space Physics
IdentifiersURN: urn:nbn:se:umu:diva-118199DOI: 10.1063/1.2757612ISI: 000249156600021OAI: oai:DiVA.org:umu-118199DiVA: diva2:920395