Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T04:21:52.879Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Abramowitz, M. & Stegun, I. A. 1970 Handbook of Mathematical Functions. Dover.Google Scholar
Davey, A. & Stewartson, K. 1974 Proc. Roy. Soc. A 388, 101.Google Scholar
Jones, I. R. & Cheetham, A. D. 1977 J. Plasma Phys. 17, 453.CrossRefGoogle Scholar
Sneddon, I. N. 1951 Fourier Transforms. McGraw-Hill.Google Scholar
Spitzer, L. 1962 Physics of Fully Ionised Gases. Wiley.Google Scholar
Watson, G. N. 1922 A Treatise on the Theory of Bessel Functions. Cambridge University Press.Google Scholar