Long nonlinear waves in a compressible magnetically structured atmosphere. I - Slow sausage waves in a magnetic slab

Details Long nonlinear waves in a compressible magnetically structured atmosphere. I - Slow sausage waves in a magnetic slab Long nonlinear waves in a compressible magnetically structured atmosphere. I - Slow sausage waves in a magnetic slab

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985soph...95...51m&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 95, Jan. 1985, p. 51-68.

Physics

19

Magnetohydrodynamic Waves, Plasma Slabs, Solar Atmosphere, Solar Magnetic Field, Wave Propagation, Atmospheric Stratification, Solitary Waves, Wave Equations

Scientific paper

The Benjamin-Ono equation is derived for long slow sausage waves propagating in a vertical magnetic slab embedded into a stratified atmosphere, provided that the slab thickness is much smaller than the scale height of the atmosphere. The soliton propagation in a nonstratified atmosphere is discussed. The approximate formulas describing the slow evolution of the amplitude and the length of a soliton propagating in a very weakly stratified atmosphere are obtained. The exact soliton-like solution for an atmosphere with a linearly growing temperature is found.

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