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Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves
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; Nonlinear Physics Centre and Center for Plasma Science and Astrophysics, Ruhr-Universität Bochum, D-44780 Bochum, Germany; Max-Planck-Institut für Extraterrestrische Physik, D-85741 Garching, Germany; GoLP/Institute of Plasmas and Nuclear Fusion, Instituto Superior Técnico, 1049-001 Lisbon, Portugal; CCLRC Centre for Fundamental Physics, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon 0X11 0QX, United Kingdom; SUPA Department of Physics, University of Strathclyde, Glasgow G 40NG, United Kingdom; School of Physics, Faculty of Science and Agriculture, University of Kwazulu-Natal, Durban 4000, South Africa.
2008 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 15, no 12, 122310Article in journal (Refereed) PublishedText
Abstract [en]

Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schrodinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter, which does not exist for the one-dimensional classical case.

Place, publisher, year, edition, pages
Melville: American Institute of Physics (AIP), 2008. Vol. 15, no 12, 122310
Keyword [en]
modulational instability, plasma flow, plasma ion acoustic waves, plasma simulation, plasma solitons, Schrodinger equation
National Category
Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:umu:diva-117471DOI: 10.1063/1.3050066ISI: 000262228500021OAI: oai:DiVA.org:umu-117471DiVA: diva2:911711
Available from: 2016-03-14 Created: 2016-03-01 Last updated: 2016-03-14Bibliographically approved

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Shukla, Padma Kant
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