Please use this identifier to cite or link to this item:
Publisher DOI: 10.1073/pnas.1821970116
Title: Directional soliton and breather beams
Language: English
Authors: Chabchoub, Amin 
Mozumi, Kento 
Hoffmann, Norbert  
Babanin, Alexander V. 
Toffoli, Alessandro 
Steer, James N. 
Bremer, Ton S. van den 
Akhmediev, Nail N. 
Onorato, Miguel 
Waseda, Takuji 
Keywords: directional localizations;extreme events;nonlinear waves;solitons
Issue Date: 26-Apr-2019
Source: Proceedings of the National Academy of Sciences of the United States of America: 116.2019, issue 20, pp.9759-9763
Journal or Series Name: Proceedings of the National Academy of Sciences of the United States of America 
Abstract (english): Solitons and breathers are nonlinear modes that exist in a wide range of physical systems. They are fundamental solutions of a number of nonlinear wave evolution equations, including the unidirectional nonlinear Schrödinger equation (NLSE). We report the observation of slanted solitons and breathers propagating at an angle with respect to the direction of propagation of the wave field. As the coherence is diagonal, the scale in the crest direction becomes finite; consequently, beam dynamics form. Spatiotemporal measurements of the water surface elevation are obtained by stereo-reconstructing the positions of the floating markers placed on a regular lattice and recorded with two synchronized high-speed cameras. Experimental results, based on the predictions obtained from the (2D + 1) hyperbolic NLSE equation, are in excellent agreement with the theory. Our study proves the existence of such unique and coherent wave packets and has serious implications for practical applications in optical sciences and physical oceanography. Moreover, unstable wave fields in this geometry may explain the formation of directional large-amplitude rogue waves with a finite crest length within a wide range of nonlinear dispersive media, such as Bose-Einstein condensates, solids, plasma, hydrodynamics, and optics.
DOI: 10.15480/882.2234
ISSN: 1091-6490
Institute: Strukturdynamik M-14 
Type: (wissenschaftlicher) Artikel
Funded by: A.C. acknowledges support from the Japan Society for the Promotion of Science (JSPS). A.V.B. acknowledges support from the Australian Research Council (Discovery Projects DP170101328). J.N.S. acknowledges an Engineering and Physical Sciences Research Council studentship (1770088). T.S.v.d.B. acknowledges a Royal Academy of Engineering Research Fellowship. N.A. acknowledges the Australian Research Council for financial support. M.O. has been funded by Progetto di Ricerca d’Ateneo Grant CSTO160004. M.O. was supported by the “Departments of Excellence 2018–2022” grant awarded by the Italian Ministry of Education, University and Research (L.232/2016). The experiments at the University of Tokyo were supported by KAKENHI of JSPS.
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
Appears in Collections:Publications with fulltext

Files in This Item:
File Description SizeFormat
2019_PNAS_Directional Solitons and Breather Beams.pdf1,57 MBAdobe PDFThumbnail
Show full item record

Page view(s)

Last Week
Last month
checked on Aug 11, 2020


checked on Aug 11, 2020

Google ScholarTM


Note about this record


This item is licensed under a Creative Commons License Creative Commons