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Modulational instability of an ion wave packet in a cylindrical plasma-filled waveguide

Published online by Cambridge University Press:  13 March 2009

B. Ghosh
B. Ghosh
Affiliation:
Department of Physics, R.K. Mission Vidyamandira, Belur Math, Howrah-711 202, India
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Abstract

The method of multiple scales is used to derive a nonlinear Schrödinger equation describing the nonlinear evolution of an ion wave packet propagating along a cylindrical plasma-filled waveguide. Numerical evaluation of nonlinear and dispersive terms shows that the wave is modulationally unstable if the wavenumber exceeds a certain critical value. On comparing with the case of an unbounded plasma, it is shown that finite geometry causes a significant shift of this critical value towards smaller wavenumbers, where Landau damping is relatively small.

Type
Research Article
Information
Journal of Plasma Physics , Volume 48 , Issue 1 , August 1992 , pp. 101 - 105
Copyright
Copyright © Cambridge University Press 1992

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