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Exact analytic solutions for nonlinear waves in cold plasmas

Published online by Cambridge University Press:  01 August 2008

G. ROWLANDS ,
G. BRODIN  and
L. STENFLO
G. ROWLANDS
Affiliation:
Department of Physics, University of Warwick, Coventry, CV4 7AL, UK
G. BRODIN
Affiliation:
Department of Physics, Umeå University, SE-901 87 Umeå, Sweden ([email protected])
L. STENFLO
Affiliation:
Department of Physics, Umeå University, SE-901 87 Umeå, Sweden ([email protected])
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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.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 4 , August 2008 , pp. 569 - 573
Copyright
Copyright © Cambridge University Press 2007

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References

[1]Infeld, E. and Rowlands, G. 2000 Nonlinear, Waves Solitons and Chaos, 2nd edn.Cambridge: Cambridge University Press.CrossRefGoogle Scholar
[2]Stenflo, L. 1996 Phys. Scripta T 63, 59.CrossRefGoogle Scholar
[3]Corless, R. M. et al. 1996 Adv. Comput. Math. 5, 329.CrossRefGoogle Scholar
[4]Dubinov, A. E. and Dubinova, I. D. 2005 J. Plasma Phys. 71, 715.CrossRefGoogle Scholar
[5]Stenflo, L., Marklund, M., Brodin, G. and Shukla, P. K. 2006 J. Plasma Phys. 72, 429.Google Scholar