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Dust–acoustic nonlinear periodic waves in a dusty plasma with charge fluctuation

Published online by Cambridge University Press:  01 October 2009

L. L. YADAV ,
S. V. SINGH  and
R. BHARUTHRAM
L. L. YADAV
Affiliation:
Kigali Institute of Education, PO Box 5039, Kigali, Rwanda
S. V. SINGH
Affiliation:
Indian Institute of Geomagnetism, New Panvel (West), Navi Mumbai 410 218, India
R. BHARUTHRAM
Affiliation:
University of the Western Cape, Modderdam Road, Belville 7530, South Africa ([email protected])
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Abstract

Using the reductive perturbation method, we present a theory for dust–acoustic nonlinear periodic waves, namely dust–acoustic cnoidal waves, in a plasma containing hot electrons and ions, and warm dust grains with varying charge. It is found that the frequency of the cnoidal wave is a function of its amplitude. It is also found that the dust grain charge fluctuation and other plasma parameters modify the properties of the dust–acoustic cnoidal waves. In the limiting case, these dust–acoustic cnoidal waves reduce to the well-known dust–acoustic solitons.

Type
Papers
Information
Journal of Plasma Physics , Volume 75 , Issue 5 , October 2009 , pp. 697 - 707
Copyright
Copyright © Cambridge University Press 2009

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