Observation of a hierarchy of up to fifth-order rogue waves in a water tank

A. Chabchoub; N. Hoffmann; M. Onorato; A. Slunyaev; A. Sergeeva; E. Pelinovsky; N. Akhmediev

doi:10.1103/PhysRevE.86.056601

Observation of a hierarchy of up to fifth-order rogue waves in a water tank

A. Chabchoub^*, N. Hoffmann, M. Onorato, A. Slunyaev, A. Sergeeva, E. Pelinovsky, N. Akhmediev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

209 Citations (Scopus)

Abstract

We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrödinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the wave-breaking effect of water waves. Due to the strong influence of the wave breaking and relatively small carrier steepness values of the experiment these results for the higher-order solutions do not directly explain the formation of giant oceanic rogue waves. However, our results are important in understanding the dynamics of rogue water waves and may initiate similar experiments in other nonlinear dispersive media such as fiber optics and plasma physics, where the wave propagation is governed by the NLS.

Original language	English
Article number	056601
Journal	Physical Review E
Volume	86
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.86.056601
Publication status	Published - 6 Nov 2012

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abstract = "We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schr{\"o}dinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the wave-breaking effect of water waves. Due to the strong influence of the wave breaking and relatively small carrier steepness values of the experiment these results for the higher-order solutions do not directly explain the formation of giant oceanic rogue waves. However, our results are important in understanding the dynamics of rogue water waves and may initiate similar experiments in other nonlinear dispersive media such as fiber optics and plasma physics, where the wave propagation is governed by the NLS.",

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AU - Slunyaev, A.

AU - Sergeeva, A.

AU - Pelinovsky, E.

AU - Akhmediev, N.

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Observation of a hierarchy of up to fifth-order rogue waves in a water tank

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