Articles | Volume 23, issue 6
Research article
 | Highlight paper
07 Jun 2023
Research article | Highlight paper |  | 07 Jun 2023

Contribution of solitons to enhanced rogue wave occurrence in shallow depths: a case study in the southern North Sea

Ina Teutsch, Markus Brühl, Ralf Weisse, and Sander Wahls

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Brief communication: Implications of outstanding solitons for the occurrence of rogue waves at two additional sites in the North Sea
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Revised manuscript under review for NHESS
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A statistical analysis of rogue waves in the southern North Sea
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Cited articles

Ablowitz, M. J. and Kodama, Y.: Note on Asymptotic Solutions of the Korteweg-de Vries Equation with Solitons, Stud. Appl. Math., 66, 159–170,, 1982. a
Ablowitz, M. J. and Segur, H.: Solitons and the Inverse Scattering Transform, Society for Industrial and Applied Mathematics,, 1981. a, b
Ablowitz, M. J., Kaup, D. J., Newell, A. C., and Segur, H.: The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems, Stud. Appl. Math., 53, 249–315,, 1974. a
Akhmediev, N., Ankiewicz, A., and Taki, M.: Waves that appear from nowhere and disappear without a trace, Phys. Lett. A, 373, 675–678,, 2009. a
Baschek, B. and Imai, J.: Rogue Wave Observations Off the US West Coast, Oceanography, 24, 158–165,, 2011. a, b, c
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Short summary
Rogue waves exceed twice the significant wave height. They occur more often than expected in the shallow waters off Norderney. When applying a nonlinear Fourier transform for the Korteweg–de Vries equation to wave data from Norderney, we found differences in the soliton spectra of time series with and without rogue waves. A strongly outstanding soliton in the spectrum indicated an enhanced probability for rogue waves. We could attribute spectral solitons to the measured rogue waves.
Final-revised paper