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

A. Chabchoub1,*, N. Hoffmann1, M. Onorato2,3, A. Slunyaev4, A. Sergeeva4, E. Pelinovsky4, and N. Akhmediev5

  • 1Mechanics and Ocean Engineering, Hamburg University of Technology, Eißendorfer Straße 42, 21073 Hamburg, Germany
  • 2Dipartimento di Fisica, Università degli Studi di Torino, Torino 10125, Italy
  • 3Istituto Nazionale di Fisica Nucleare, INFN, Sezione di Torino, 10125 Torino, Italy
  • 4Department of Nonlinear Geophysical Processes, Institute of Applied Physics, Nizhny Novgorod, Russia
  • 5Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 0200, Australia

  • *amin.chabchoub@tuhh.de
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Phys. Rev. E 86, 056601 – Published 6 November, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.056601

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.

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Phys. Rev. E 86, 056601– Published 6 November, 2012
  • Received 19 July 2012

©2012 American Physical Society

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