Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering Article Swipe
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·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physrevfluids.7.054401
· OA: W3192350830
Peregrine soliton (PS) is widely regarded as a prototype nonlinear structure\ncapturing properties of rogue waves that emerge in the nonlinear propagation of\nunidirectional wave trains. As an exact breather solution of the\none-dimensional focusing nonlinear Schr\\"odinger equation with nonzero boundary\nconditions, the PS can be viewed as a soliton on finite background, i.e. a\nnonlinear superposition of a soliton and a monochromatic wave. A recent\nmathematical work showed that both nonzero boundary conditions and solitonic\ncontent are not pre-requisites for the PS occurrence. Instead, it has been\ndemonstrated that PS can emerge locally, as an asymptotic structure arising\nfrom the propagation of an arbitrary large decaying pulse, independently of its\nsolitonic content. This mathematical discovery has changed the widely accepted\nparadigm of the solitonic nature of rogue waves by enabling the PS to emerge\nfrom a partially radiative or even completely solitonless initial data. In this\nwork, we realize the mathematically predicted universal mechanism of the local\nPS emergence in a water tank experiment with a particular aim to control the\npoint of the PS occurrence in space-time by imposing an appropriately chosen\ninitial chirp. By employing the inverse scattering transform for the synthesis\nof the initial data, we are able to engineer a localized wave packet with a\nprescribed solitonic and radiative content. This enabled us to control the\nposition of the emergence of the rogue wave by adjusting the inverse scattering\nspectrum. The proposed method of the nonlinear spectral engineering is found to\nbe robust to higher-order nonlinear effects inevitable in realistic wave\npropagation conditions.\n
