Theory of magnetohydrodynamic waves - The WKB approximation revisited

Details Theory of magnetohydrodynamic waves - The WKB approximation revisited Theory of magnetohydrodynamic waves - The WKB approximation revisited

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jgr....9712105b&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 97, no. A8, Aug. 1, 1992, p. 12,105-12,112.

Physics

28

Eikonal Equation, Magnetohydrodynamic Waves, Wentzel-Kramer-Brillouin Method, Amplitudes, Isentropic Processes, Wave Propagation

Scientific paper

The present paper revisits the derivation of the WKB approximation for small-amplitude magnetohydrodynamic waves, allowing for possible spatial variation of the background entropy. The equation of variation of wave amplitude is rederived; it is a bilinear equation which, it turns out, can be recast in the action conservation form. It is shown that this action conservation equation is in fact equivalent to the action conservation law obtained from Lagrangian treatments.

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