The Peregrine breather on the zero-background limit as the two-soliton degenerate solution : an experimental study

Journal
Frontiers in physics  
Volume
9
Article Number
633549
Citation
Frontiers in physics 9 : 633549 (2021)
Publisher DOI
10.3389/fphy.2021.633549
Scopus ID
2-s2.0-85114613119
Publisher
Frontiers Media S.A.
Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While the Peregrine breather is known to amplify a single localized perturbation of a carrier wave of finite amplitude by a factor of three, there is a counterpart solution on zero background known as the degenerate two-soliton which also leads to high amplitude maxima. In this study, we report several observations of such multi-soliton with doubly-localized peaks in a water wave flume. The data collected in this experiment confirm the distinctive attainment of wave amplification by a factor of two in good agreement with the dynamics of the nonlinear Schrödinger equation solution. Advanced numerical simulations solving the problem of nonlinear free water surface boundary conditions of an ideal fluid quantify the physical limitations of the degenerate two-soliton in hydrodynamics.
Subjects
degenerate soliton
Peregrine breather on the zero-background limit
rogue waves
nonlinear waves
wave hydrodynamics
DDC Class
530: Physik
600: Technik
620: Ingenieurwissenschaften
Publication version
publishedVersion
Lizenz
https://creativecommons.org/licenses/by/4.0/
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