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On the theory of Langmuir solitons†

Published online by Cambridge University Press:  13 March 2009

J. Gibbons ,
S. G. Thornhill ,
M. J. Wardrop  and
D. Ter Haar
J. Gibbons
Affiliation:
Department of Theoretical Physics, 12 Parks Road, Oxford OX1 3PQ, Great Britain
S. G. Thornhill
Affiliation:
Department of Theoretical Physics, 12 Parks Road, Oxford OX1 3PQ, Great Britain
M. J. Wardrop
Affiliation:
Department of Theoretical Physics, 12 Parks Road, Oxford OX1 3PQ, Great Britain
D. Ter Haar
Affiliation:
Department of Theoretical Physics, 12 Parks Road, Oxford OX1 3PQ, Great Britain
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Abstract

We find a Lagrangian density from which the equations of motion for the Lang-muir solitons follow in the usual way. We show how this Lagrangian leads to the usual conservation laws. For the one-dimensional case we discuss how a consideration of these conservation laws can help us to understand some of the results obtained in numerical experiments on the behaviour of a strongly turbulent plasma. We point out that the situation in the three-dimensional case may be fundamentally different, and we discuss near-sonic perturbations and Karpman's treatment of these.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 2 , April 1977 , pp. 153 - 170
Copyright
Copyright © Cambridge University Press 1977

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References

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