Abstract
We use the inverse scattering transform to show that a solution of the Camassa-Holm equation is identically zero whenever it vanishes on two horizontal half-lines in the x-t space. In particular, a solution that has compact support at two different times vanishes everywhere, proving that the Carnassa-Holm equation has infinite propagation speed. (c) 2006 Elsevier Inc. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 1468-1478 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 325 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2007 |
Subject classification (UKÄ)
- Mathematics
Free keywords
- infinite
- shallow water equation
- inverse scattering transform
- propagation speed
- Camassa-Holm equation