Hydrodynamics of periodic breathers

A. Chabchoub; B. Kibler; J. M. Dudley; N. Akhmediev

doi:10.1098/rsta.2014.0005

Hydrodynamics of periodic breathers

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

^*Corresponding author for this work

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

72 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 language	English
Article number	0005
Journal	Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Volume	372
Issue number	2027
DOIs	https://doi.org/10.1098/rsta.2014.0005
Publication status	Published - 28 Oct 2014

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title = "Hydrodynamics of periodic breathers",

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 Schr{\"o}dinger 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.",

keywords = "Akhmediev breather, Kuznetsov-Ma soliton, Nonlinear Schr{\"o}dinger equation, Rogue waves",

author = "A. Chabchoub and B. Kibler and Dudley, {J. M.} and N. Akhmediev",

note = "Publisher Copyright: {\textcopyright} 2014 The Author(s) Published by the Royal Society.",

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T1 - Hydrodynamics of periodic breathers

AU - Chabchoub, A.

AU - Kibler, B.

AU - Dudley, J. M.

AU - Akhmediev, N.

PY - 2014/10/28

Y1 - 2014/10/28

N2 - 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.

AB - 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.

KW - Akhmediev breather

KW - Kuznetsov-Ma soliton

KW - Nonlinear Schrödinger equation

KW - Rogue waves

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U2 - 10.1098/rsta.2014.0005

DO - 10.1098/rsta.2014.0005

M3 - Article

SN - 1364-503X

VL - 372

JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

IS - 2027

M1 - 0005

ER -

Hydrodynamics of periodic breathers

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