Hydrodynamics of periodic breathers-Reference-Cited by-同舟云学术

Hydrodynamics of periodic breathers

Published:2014-10-28 Issue:2027 Volume:372 Page:20140005
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Chabchoub A.¹,Kibler B.²,Dudley J. M.³,Akhmediev N.⁴

Affiliation:

1. Centre for Ocean Engineering Science and Technology, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia

2. Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS, Université de Bourgogne, Dijon, France

3. Institut FEMTO-ST, SUMR 6174 CNRS- Université de Franche-Comté, 25030 Besançon, France

4. Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra, Australian Capital Territory 0200, Australia

Abstract

We report the first experimental observation of periodic breathers in water waves. One of them is Kuznetsov–Ma soliton and another one is Akhmediev breather. Each of them is a localized solution of the nonlinear Schrödinger equation (NLS) on a constant background. The difference is in localization which is either in time or in space. The experiments conducted in a water wave flume show results that are in good agreement with the NLS theory. Basic features of the breathers that include the maximal amplitudes and spectra are consistent with the theoretical predictions.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2014.0005

Reference50 articles.

1. Rogue waves

2. Weakly Nonlinear Sea Surface Waves — Freak Waves and Deterministic Forecasting

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