Abstract
The KdV equation with periodic boundary conditions is considered. The interaction of a periodic solitary wave (cnoidal wave) with high frequency radiation of finite energy (L2 norm) is studied. It is proved that the interaction of a low frequency component (cnoidal wave) and high frequency radiation is weak for finite time in the following sense: the radiation approximately satisfies the Airy equation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4147-4164 |
| Number of pages | 18 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 44 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2012 |
Keywords
- High frequency
- KdV cnoidal waves
- Korteweg-de Vries
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics