Hydrodynamics of periodic breathers

A. Chabchoub*, B. Kibler, J. M. Dudley, N. Akhmediev

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

41 Citations (Scopus)

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.

Original languageEnglish
Article number0005
JournalPHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume372
Issue number2027
DOIs
Publication statusPublished - 28 Oct 2014
MoE publication typeA1 Journal article-refereed

Keywords

  • Akhmediev breather
  • Kuznetsov-Ma soliton
  • Nonlinear Schrödinger equation
  • Rogue waves

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