Hydrodynamics of periodic breathers

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.

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