Predicting rogue waves in random oceanic sea states

2004/11/10 by Constance Schober, C. M. Schober, Schober, Constance +3 · 1 citation
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Bayesian Methods and Mixture Models #FOS: Physical sciences #Marine and environmental studies #Pattern Formation and Solitons (nlin.PS) #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0411025

7 pages, 6 figures submitted to Physics of Fluids, October 25, 2004 Revised version submitted to Physics of Fluids, December 12, 2004

openalex publication_date 2004/11/10 · arxiv created 2004/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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 is ``near'' NLS homoclinic data, while rogue waves do not occur for JONSWAP data that is ``far'' from NLS homoclinic data. We show the nonlinear spectral decomposition provides a simple criterium for predicting the occurrence and strength of rogue waves (PACS: 92.10.Hm, 47.20.Ky, 47.35+i).

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• Soliton-like Rogue Wave Dynamics in Dissipative Higher-Order NLS Models: A Floquet Spectral Perspective

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