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Large amplitude solitary magnetized plasma waves

Published online by Cambridge University Press:  26 September 2005

C.M.C. NAIRN ,
R. BINGHAM  and
J.E. ALLEN
C.M.C. NAIRN
Affiliation:
Umeå University, Space Physics Department SE-901 87 Umeå, Sweden
R. BINGHAM
Affiliation:
Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 OQX, UK (rbi@vk.rl.ac.uk)
J.E. ALLEN
Affiliation:
Department of Engineering Science, Parks Road, Oxford OX1 3PJ, UK
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Abstract

Waves launched into a magnetized plasma when it is rapidly compressed were studied in the late 1950s by Adlam and Allen. In this paper we show that the equations describing large amplitude magnetized plasma waves, or Adlam–Allen waves, can be reduced to a single nonlinear equation, namely the Korteweg–de Vries equation and that the solutions of this equation are in agreement with the results obtained previously by Adlam and Allen. The solutions of both the Adlam–Allen equations and the Korteweg–de Vries equation take the form of solitary waves and periodic wave trains.

Type
Papers
Information
Journal of Plasma Physics , Volume 71 , Issue 5 , October 2005 , pp. 631 - 643
Copyright
2005 Cambridge University Press

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