Abstract
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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Merzljakov, E.G., Ruderman, M.S. Long nonlinear waves in a compressible magnetically structured atmosphere. Sol Phys 95, 51–68 (1985). https://doi.org/10.1007/BF00162636
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DOI: https://doi.org/10.1007/BF00162636