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| Titel |
On Benjamin-Feir instability and evolution of a nonlinear wave with finite-amplitude sidebands |
| VerfasserIn |
L. Shemer |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1561-8633
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| Digitales Dokument |
URL |
| Erschienen |
In: Natural Hazards and Earth System Science ; 10, no. 11 ; Nr. 10, no. 11 (2010-11-30), S.2421-2427 |
| Datensatznummer |
250008509
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| Publikation (Nr.) |
 copernicus.org/nhess-10-2421-2010.pdf |
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| Zusammenfassung |
| 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. |
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