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Nonlinear interaction of electrostatic surface waves in a semi-infinite plasma. Part 2. Time-dependent solutions to the coupled mode equations

Published online by Cambridge University Press:  13 March 2009

V. Atanassov
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
E. Mateev
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
I. Zhelyazkov
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria

Abstract

The coupled mode equations which govern the nonlinear interaction of three electrostatic high-frequency surface waves and a low-frequency density perturbation are analysed considering time-dependent solutions only. We show the existence of a filamentation instability in the static limit for the low-frequency density perturbation. In the opposite case (density perturbation close to the lowfrequency surface wave resonance) we arrive at a decay instability where only surface waves take part. The parametric approximation (growth rate and threshold) as well as the nonlinear evolution of both types of instabilities are studied.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1981

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References

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