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Solitary, explosive, and periodic solutions of the quantum Zakharov-Kuznetsov equation and its transverse instability
Umeå University, Faculty of Science and Technology, Department of Physics. Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany; School of Physics, University of KwaZulu-Natal, Durban 4000, South Africa; Max-Planck Institut für Extraterrestrische Physik, D-45741 Garching, Germany; CCLRC Center for Fundamental Physics, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 OQX, United Kingdom; SUPA Department of Physics, University of Strathclyde, Glasgow G4 ONG, United Kingdom; GoLP/Centro de Fisica de Plasmas, Instituto Superior Técnico, Universidade Técnica de Lisboa, 1049 Lisboa, Portugal.
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2007 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 14, no 8, 082308Article in journal (Refereed) PublishedText
Abstract [en]

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
Keyword [en]
dusty plasmas, acoustic-waves, stability, derivation, solitons
National Category
Fusion, Plasma and Space Physics
URN: urn:nbn:se:umu:diva-118199DOI: 10.1063/1.2757612ISI: 000249156600021OAI: diva2:920395
Available from: 2016-04-18 Created: 2016-03-14 Last updated: 2016-04-18Bibliographically approved

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Shukla, Padma Kant
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