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Envelope solitons of surface waves in a plasma column

Published online by Cambridge University Press:  13 March 2009

D. Grozev ,
A. Shivarova  and
A. D. Boardman
D. Grozev
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
A. Shivarova
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
A. D. Boardman
Affiliation:
Department of Pure and Applied Physics, University of Salford, Salford M5 4WT, England
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Abstract

The problem of envelope solitons of surface waves is considered on the basis of results for the nonlinear dispersion relation of the waves in a plasma column. The soliton solutions are derived as particular cases of the general solutions obtained by a universal procedure and expressed in terms of Jacobi elliptic functions. Since the two types of interactions, namely the (ω + ω) – ω and the (ω – ω) + ω interactions (where ω is the frequency of the carrier wave) included in the nonlinear dispersion relation act in opposite ways, existence both of bright and dark solitons is shown to be possible. The effect of the ponderomotive force that in our case is expressed through the contribution of the (ω – ω) + ω interaction leads to the formation of dark solitons. The effect of the losses is also considered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 3 , December 1987 , pp. 427 - 437
Copyright
Copyright © Cambridge University Press 1987

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References

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