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Finite amplitude effects in the propagation and interaction of m =0 torsional hydromagnetic waves

Published online by Cambridge University Press:  13 March 2009

I. R. Jones  and
A. D. Cheetham
I. R. Jones
Affiliation:
School of Physical Sciences, The Flinders University of South Australia, Bedford Park, S.A. 5042, Australia.
A. D. Cheetham
Affiliation:
School of Physical Sciences, The Flinders University of South Australia, Bedford Park, S.A. 5042, Australia.
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Extract

In this paper the nonlinear behaviour of the m = 0 torsional hydromagnetic wave is analyzed. Two cases have been considered: the nonlinear self-interaction of a single torsional wave and the nonlinear interaction of two identical, oppositely propagating torsional waves. In the first case the nonlinear terms in Ohm's law and the equation of motion generate a second order perturbation which accompanies the primary wave and has two components: a steady component and an oscillatory component having twice the frequency of the primary torsional wave. In the second case studied the self and cross-interactions of the two waves again generate a second order perturbation field. The existence of certain critical wavelengths, at which geometric resonances of the perturbation occur, is established.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 3 , June 1977 , pp. 433 - 452
Copyright
Copyright © Cambridge University Press 1977

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