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Self-interaction of Alfvén waves in a cylindrical waveguide filled with an ideally conducting compressible plasma

Published online by Cambridge University Press:  13 March 2009

Nagendra Kumar  and
Krishna M. Srivastava
Nagendra Kumar
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee, India
Krishna M. Srivastava
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee, India
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Abstract

The nonlinear behaviour of azimuthally symmetric Alfvén waves propagating along the axis of a cylindrical ideally conducting compressible fluid-filled waveguide is investigated. It is shown that the nonlinear evolution of such waves is governed by the nonlinear Schrödinger equation. Modulational instability for fundamental (m = 1) radial mode is discussed for α2 = 0·1,0·2, 0·3 and different values of k. The amplitude-dependent frequency and wavenumber shifts are calculated and their variations with wavenumber are shown graphically.

Type
Research Article
Information
Journal of Plasma Physics , Volume 45 , Issue 1 , February 1991 , pp. 89 - 101
Copyright
Copyright © Cambridge University Press 1991

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References

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