Abstract
The thin-flux-tube approximation developed by Zhugzhda [Phys. Plasmas 3 (1996) 10] allows one to describe analytically the weakly non-linear dynamics of long-wavelength sausage body magnetosonic waves in magnetic flux tubes. A Korteweg-de Vries equation is derived for slow body waves. The weakly non-linear sausage body waves appear as narrowings of the flux tube, with rarefaction, cooling, and acceleration of a plasma flow due to the squeezing of the tube. The "breaking" of the non-linear slow body waves is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 413-417 |
| Number of pages | 5 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 233 |
| Issue number | 4-6 |
| DOIs | |
| Publication status | Published - 1 Sept 1997 |
Bibliographical note
Funding Information:Y.Z. thanks the Alexander von Humboldt Foundation for supporto f this research.V .M.N. is grateful to B. Roberts for a number of stimulating discussions.
Keywords
- KdV equation
- Magnetic flux tubes
- Non-linear waves
- Shocks
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