Physics
Scientific paper
Oct 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994soph..154..215l&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 154, no. 2, p. 215-230
Physics
2
Atmospheric Heating, Magnetic Flux, Magnetohydrodynamic Waves, Nonlinear Systems, Solar Atmosphere, Solar Corona, Wave Propagation, Damping, Harmonic Generations, Incompressibility, Magnetohydrodynamics, Schroedinger Equation, Solar Magnetic Field, Surface Waves, Traveling Waves
Scientific paper
The weakly nonlinear wave propagation of a slow sausage surface wave traveling along a magnetized slab with a thin nonuniform boundary layer is considered. The ideal incompressible MHD equations are used and the nonlinearities are assumed to be due to second harmonic generation. A nonlinear dispersion relation and the related nonlinear Schroedinger equation is derived. The existence of a continuous thin interface leads to sharply peaked field amplitudes due to resonant interaction with local Alfven waves. It is shown that the nonlinear effect from processes within the thin layer are much more important than those from the main slab. Furthermore, the nonlinear interaction with local Alfven waves yields a nonlinear damping rate of the wave that is much larger than the linear damping rate when the transition layer is sufficiently thin.
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