Abstract
The solitary wave problem at the free surface of a two-dimensional, infinitely-deep and irrotational flow of water under the influence of gravity is formulated as a nonlinear pseudodifferential equation. A Pohozaev identity is used to show that it admits no solutions which asymptotically vanish faster than linearly.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3301-3312 |
| Number of pages | 12 |
| Journal | Nonlinearity |
| Volume | 25 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2012 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics