Authors

A. L. Islas;C. M. Schober

Comments

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Abbreviated Journal Title

Phys. Fluids

Keywords

DEEP-WATER; MODULATIONAL INSTABILITY; EQUATION; DYNAMICS; Mechanics; Physics, Fluids & Plasmas

Abstract

Using the inverse spectral theory of the nonlinear Schrodinger (NLS) equation we correlate the development of rogue waves in oceanic sea states characterized by the Joint North Sea Wave Project (JONSWAP) spectrum with the proximity to homoclinic solutions of the NLS equation. We find in numerical simulations of the NLS equation that rogue waves develop for JONSWAP initial data that are "near" NLS homoclinic data, while rogue waves do not occur for JONSWAP data that are "far" from NLS homoclinic data. We show the nonlinear spectral decomposition provides a simple criterium for predicting the occurrence and strength of rogue waves.

Journal Title

Physics of Fluids

Volume

17

Issue/Number

3

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

4

WOS Identifier

WOS:000227372600012

ISSN

1070-6631

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