Solitary waves in a magnetic flux tube

Physics

Scientific paper

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58

Magnetic Flux, Solar Physics, Solitary Waves, Wave Propagation, Evolution (Development), Plasma Cylinders, Plasma Slabs, Solar Atmosphere

Scientific paper

The propagation of weakly nonlinear long-wavelength (weakly dispersive) sound waves in both a magnetic slab and a magnetic cylinder (flux tubes in the solar atmosphere) is analyzed. The slab geometry is shown to lead to the Benjamin-Ono equation, and the cylindrical geometry yields an allied form of this equation. It is noted that the magnetic flux tube provides a simple illustration of these two equations, hitherto considered only in separate physical systems.

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