Nonlinear stage of the Benjamin-Feir instability: Three-dimensional coherent structures and rogue waves
| dc.creator | Ruban, V. P. | |
| dc.date | 2007-04-24 | |
| dc.date.accessioned | 2026-07-07T08:21:15Z | |
| dc.date.available | 2026-07-07T08:21:15Z | |
| dc.description | A specific, genuinely three-dimensional mechanism of rogue wave formation, in a late stage of the modulational instability of a perturbed Stokes deep-water wave, is recognized through numerical experiments. The simulations are based on fully nonlinear equations describing weakly three-dimensional potential flows of an ideal fluid with a free surface in terms of conformal variables. Spontaneous formation of zigzag patterns for wave amplitude is observed in a nonlinear stage of the instability. If initial wave steepness is sufficiently high ($ka>0.06$), these coherent structures produce rogue waves. The most tall waves appear in ``turns'' of the zigzags. For $ka<0.06$, the structures decay typically without formation of steep waves. | |
| dc.description | 11 pages, 7 figures, submitted to PRL | |
| dc.identifier | https://arxiv.org/abs/0704.3246 | |
| dc.identifier | http://arxiv.org/abs/0704.3246 | |
| dc.identifier | Phys. Rev. Lett. 99, 044502 (2007). | |
| dc.identifier | doi:10.1103/PhysRevLett.99.044502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135300 | |
| dc.subject | Fluid Dynamics | |
| dc.subject | Atmospheric and Oceanic Physics | |
| dc.title | Nonlinear stage of the Benjamin-Feir instability: Three-dimensional coherent structures and rogue waves | |
| dc.type | text |