On Benjamin-Feir instability and evolution of a nonlinear wave with finite-amplitude sidebands
| Autor: | L. Shemer |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Natural Hazards and Earth System Sciences, Vol 10, Iss 11, Pp 2421-2427 (2010) |
| Druh dokumentu: | article |
| ISSN: | 1561-8633 1684-9981 |
| DOI: | 10.5194/nhess-10-2421-2010 |
| Popis: | In the past decade it became customary to relate the probability of appearance of extremely steep (the so-called freak, or rogue waves) to the value of the Benjamin-Feir Index (BFI) that represents the ratio of wave nonlinearity to the spectral width. This ratio appears naturally in the cubic Schrödinger equation that describes evolution of unidirectional narrow-banded wave field. The notion of this index stems from the Benjamin-Feir linear stability analysis of Stokes wave. The application of BFI to evaluate the evolution of wave fields, with non-vanishing amplitudes of sideband disturbances, is investigated using the Zakharov equation as the theoretical model. The present analysis considers a 3-wave system for which the exact analytical solution of the model equations is available. |
| Databáze: | Directory of Open Access Journals |
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