Long nonlinear waves in a compressible magnetically structured atmosphere. II - Slow body waves in a magnetic slab

Details Long nonlinear waves in a compressible magnetically structured atmosphere. II - Slow body waves in a magnetic slab Long nonlinear waves in a compressible magnetically structured atmosphere. II - Slow body waves in a magnetic slab

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986soph..103..259m&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 103, no. 2, 1986, p. 259-276.

Physics

17

Magnetohydrodynamic Waves, Nonlinear Equations, Solar Atmosphere, Solar Magnetic Field, Conservation Laws, Harmonic Generations, Linear Equations, Solitary Waves, Wave Propagation

Scientific paper

An approximate equation describing long nonlinear slow body wave propagation in a magnetic slab in magnetic environments is derived. It is shown that this equation has no solutions in the form of solitary waves. Second-harmonic generation by a sinusoidal wave is studied. Results of numerical computations are presented. They show that a sinusoidal disturbance overturns, i.e., infinite gradients arise. An approximate formula for the overturning time is derived. The application of these results to the problem of coronal heating is discussed.

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