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Excitation of rogue waves in a variable medium: An experimental study on the interaction of water waves and currents

A. Toffoli, T. Waseda, H. Houtani, T. Kinoshita, K. Collins, D. Proment, and M. Onorato
Phys. Rev. E 87, 051201(R) – Published 29 May 2013

Abstract

We show experimentally that a stable wave propagating into a region characterized by an opposite current may become modulationally unstable. Experiments have been performed in two independent wave tank facilities; both of them are equipped with a wavemaker and a pump for generating a current propagating in the opposite direction with respect to the waves. The experimental results support a recent conjecture based on a current-modified nonlinear Schrödinger equation which establishes that rogue waves can be triggered by a nonhomogeneous current characterized by a negative horizontal velocity gradient.

  • Received 28 January 2013

DOI:https://doi.org/10.1103/PhysRevE.87.051201

©2013 American Physical Society

Authors & Affiliations

A. Toffoli1,2, T. Waseda3, H. Houtani3,4, T. Kinoshita5, K. Collins2, D. Proment6, and M. Onorato7,8

  • 1Centre for Ocean Engineering Science and Technology, Swinburne University of Technology, P. O. Box 218, Hawthorn, 3122 Victoria, Australia
  • 2School of Marine Science and Engineering, Plymouth University, Plymouth PL4 8AA, United Kingdom
  • 3Graduate School of Frontier Sciences, University of Tokyo, Kashiwa, Chiba 277-8563, Japan
  • 4National Maritime Research Institute, Shinkawa, Mitaka-shi, Tokyo 180-0004, Japan
  • 5Institute of Industrial Science, University of Tokyo, Tokyo, Japan
  • 6School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, United Kingdom
  • 7Dipartimento di Fisica, Università degli Studi di Torino, Via Pietro Giuria 1, 10125 Torino, Italy
  • 8INFN, Sezione di Torino, Via Pietro Giuria 1, 10125 Torino, Italy

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Issue

Vol. 87, Iss. 5 — May 2013

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