The NLS approximation for two dimensional deep gravity waves
- 3 Downloads
This article is concerned with infinite depth gravity water waves in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates. Our goal is to study this problem with small wave packet data, and to show that this is well approximated by the cubic nonlinear Schrödinger equation (NLS) on the natural cubic time scale.
Keywordswater waves gravity waves normal forms NLS approximation
Unable to display preview. Download preview PDF.
The first author was supported by a Clare Boothe Luce Professorship. The second author was supported by the National Science Foundation of USA (Grant No. DMS-1800294) and a Simons Investigator grant from the Simons Foundation.