The Peregrine Breather on the Zero-Background Limit as the Two-Soliton Degenerate Solution: An Experimental Study

Frontiers in Physics

Bertrand Kibler¹  Goëry Genty²  John M. Dudley³  Nail Akhmediev⁴  Amin Chabchoub⁵  Norbert Hoffmann⁶  Frederic Dias^1,10  Alexey Slunyaev^1,12 

[1] 0Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 6303 CNRS-Université Bourgogne Franche-Comté, Dijon, France;1Photonics Laboratory, Physics Unit, Tampere University, Tampere, Finland;2Institut FEMTO-ST, Université Bourgogne Franche-Comté CNRS UMR 6174, Besançon, France;3Department of Theoretical Physics, Research School of Physics, The Australian National University, Canberra, ACT, Australia;Center for Wind, Waves and Water, School of Civil Engineering, The University of Sydney, Sydney, NSW, Australia;Department of Mechanical Engineering Imperial College London, London, United Kingdom;Department of Nonlinear Geophysical Processes, Institute of Applied Physics RAS, Nizhny Novgorod, Russia;Disaster Prevention Research Institute, Kyoto University, Kyoto, Japan;Dynamics Group, Hamburg University of Technology, Hamburg, Germany;ENS Paris-Saclay, CNRS, Centre Borelli, Université Paris-Saclay, Gif-sur-Yvette, France;Hakubi Center for Advanced Research, Kyoto University, Kyoto, Japan;Laboratory of Dynamical Systems and Applications, National Research University Higher School of Economics, Nizhny Novgorod, Russia;School of Mathematics and Statistics, University College Dublin, Dublin, Ireland;

关键词: degenerate soliton;    Peregrine breather on the zero-background limit;    rogue waves;    nonlinear waves;    wave hydrodynamics;   

DOI  :  10.3389/fphy.2021.633549

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown