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Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves

Sabry, R. and El-Labany, S.K. and Shukla, P.K. (2008) Nonlinear wave modulation of cylindrical and spherical quantum ion-acoustic solitary waves. Physics of Plasmas, 15 (12). p. 122310. ISSN 1070-664X

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Abstract

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 Schrödinger 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.

Item type: Article
ID code: 19340
Keywords: modulational instability, plasma flow, plasma ion acoustic waves, plasma simulation, plasma solitons, Schrodinger, equation, Plasma physics. Ionized gases
Subjects: Science > Physics > Plasma physics. Ionized gases
Department: Faculty of Science > Physics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 01 Jun 2010 15:21
    Last modified: 06 Dec 2013 22:16
    URI: http://strathprints.strath.ac.uk/id/eprint/19340

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