Abstract
We present an exact relation among the kinetic, potential and surface tension energies of a solitary wave in deep water in all dimensions. We deduce its non-existence in the absence of the effects of surface tension, provided that gravity acts in a direction opposite to what is physically realistic.
| Original language | English (US) |
|---|---|
| Article number | 42FT01 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 48 |
| Issue number | 42 |
| DOIs | |
| State | Published - Sep 23 2015 |
Keywords
- deep water
- non-existence
- solitary
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- General Physics and Astronomy