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Exact analytic solutions for nonlinear waves in cold plasmas

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Rowlands, G. (George), Brodin, G. and Stenflo, Lennart. (2008) Exact analytic solutions for nonlinear waves in cold plasmas. Journal of Plasma Physics, Vol.74 (No.4). pp. 569-573. ISSN 0022-3778

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Official URL: http://dx.doi.org/10.1017/S002237780700699X

Abstract

Large amplitude plasma oscillations are studied in a cold electron plasma. Using Lagrangian variables, a new class of exact analytical solutions is found. It turns out that the electric field amplitude is limited either by wave breaking or by the condition that the electron density always has to stay positive. The range of possible amplitudes is determined analytically.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Plasma oscillations -- Research, Low temperature plasmas -- Research, Plasma waves -- Research, Amplitude modulation, Electric fields, Electron distribution, Plasma oscillations, Lagrange equations, Plasma physics
Journal or Publication Title:	Journal of Plasma Physics
Publisher:	Cambridge University Press
ISSN:	0022-3778
Date:	August 2008
Volume:	Vol.74
Number:	No.4
Page Range:	pp. 569-573
Identification Number:	10.1017/S002237780700699X
Status:	Peer Reviewed
Access rights to Published version:	Open Access
References:	[1] Infeld, E. and Rowlands, G. 2000 Nonlinear, Waves Solitons and Chaos, 2nd edn. Cambridge: Cambridge University Press. [2] Stenflo, L. 1996 Phys. Scripta T 63, 59. [3] Corless, R. M. et al. 1996 Adv. Comput. Math. 5, 329. [4] Dubinov, A. E. and Dubinova, I. D. 2005 J. Plasma Phys. 71, 715. [5] Stenflo, L., Marklund, M., Brodin, G. and Shukla, P. K. 2006 J. Plasma Phys. 72, 429.
URI:	http://wrap.warwick.ac.uk/id/eprint/2572