Abstract
The well-known shock solutions of the Korteweg-de Vries-Burgers equation are revisited, together with their limitations in the context of plasma (astro)physical applications. Although available in the literature for a long time, it seems to have been forgotten in recent papers that such shocks are monotonic and unique, for a given plasma configuration, and cannot show oscillatory or bell-shaped features. This uniqueness is contrasted to solitary wave solutions of the two parent equations (Korteweg-de Vries and Burgers), which form a family of curves parameterized by the excess velocity over the linear phase speed.
Original language | British English |
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Pages (from-to) | 245-249 |
Number of pages | 5 |
Journal | Astrophysics and Space Science |
Volume | 338 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2012 |
Keywords
- Plasmas
- Shock waves