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Self-interaction of compressional hydromagnetic waves in a cylindrical plasma-filled waveguide

Published online by Cambridge University Press:  13 March 2009

B. Ghosh  and
K. P. Das
B. Ghosh
Affiliation:
Department of Physics, R. K. Mission Vidyamandir, Belur Math, Howrah, India
K. P. Das
Affiliation:
Department of Applied Mathematics, Calcutta University, 92 Acharya Prafulla Chandra Road, Calcutta - 700 009, India
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Abstract

Nonlinear behaviour of azimuthally symmetric compressional hydromagnetic waves propagating along a cylindrical cold magnetized plasma-filled waveguide is investigated. A nonlinear Schrödinger equation describing the nonlinear evolution of such waves is derived. Numerical evaluation of the dispersive and nonlinear terms reveals that such waves are modulationally stable in the fundamental radial mode of propagation. Calculations are presented for the amplitude dependent frequency and wavenumber shifts.

Type
Research Article
Information
Journal of Plasma Physics , Volume 36 , Issue 1 , August 1986 , pp. 135 - 141
Copyright
Copyright © Cambridge University Press 1986

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References

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