No solitary waves exist on 2D deep water
Analysis of PDEs
2015-10-12 v1 Mathematical Physics
math.MP
Fluid Dynamics
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.
Cite
@article{arxiv.1209.1926,
title = {No solitary waves exist on 2D deep water},
author = {Vera Mikyoung Hur},
journal= {arXiv preprint arXiv:1209.1926},
year = {2015}
}