Rogue wave early warning through spectral measurements?
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Akhmediev, Nail; Ankiewicz, Adrian; Soto-Crespo, J. M.; Dudley, John M.
Description
We study the spectra of the Peregrine soliton and higher-order rational solutions of the nonlinear Schrödinger equation (NLSE), which we use as a model of the rogue waves in optics and in the deep ocean. We show that these solutions have specific triangular spectra that are certainly easily measurable in optical systems and which may be amenable to characterisation in ocean environments. As the triangular feature of the solutions appears at an early stage of their evolution, this raises the...[Show more]
dc.contributor.author | Akhmediev, Nail | |
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dc.contributor.author | Ankiewicz, Adrian | |
dc.contributor.author | Soto-Crespo, J. M. | |
dc.contributor.author | Dudley, John M. | |
dc.date.accessioned | 2015-09-16T05:01:38Z | |
dc.date.available | 2015-09-16T05:01:38Z | |
dc.identifier.issn | 0375-9601 | |
dc.identifier.uri | http://hdl.handle.net/1885/15438 | |
dc.description.abstract | We study the spectra of the Peregrine soliton and higher-order rational solutions of the nonlinear Schrödinger equation (NLSE), which we use as a model of the rogue waves in optics and in the deep ocean. We show that these solutions have specific triangular spectra that are certainly easily measurable in optical systems and which may be amenable to characterisation in ocean environments. As the triangular feature of the solutions appears at an early stage of their evolution, this raises the possibility of early detection and possible localized warning of the appearance of rogue waves. We anticipate that studying the characteristics of “early warning spectra” of rogue waves may become an important future field of research. | |
dc.description.sponsorship | N.A. is grateful to Alexander von Humboldt Foundation as this work was prepared while he was visiting Germany. A.A. acknowledges the support of the Australian Research Council (Discovery Project DP0985394). J.M.S.C. acknowledges support from the Spanish Ministerio de Ciencia e Innovación under contracts FIS2006- 03376 and FIS2009-09895. J.M.D. thanks the Institut Universitaire de France and the French Agence Nationale de la Recherche projects MANUREVA ANR-08-SYSC-019 and IMFINI ANR-09-BLAN- 0065, for support. | |
dc.publisher | Elsevier | |
dc.rights | © 2010 Elsevier B.V. | |
dc.source | Physics Letters A | |
dc.title | Rogue wave early warning through spectral measurements? | |
dc.type | Journal article | |
local.identifier.citationvolume | 375 | |
dc.date.issued | 2011-01-17 | |
local.publisher.url | http://www.elsevier.com/ | |
local.type.status | Published Version | |
local.contributor.affiliation | Akhmediev, N., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University | |
local.contributor.affiliation | Ankiewicz, A., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University | |
dc.relation | http://purl.org/au-research/grants/arc/DP0985394 | |
local.bibliographicCitation.issue | 3 | |
local.bibliographicCitation.startpage | 541 | |
local.bibliographicCitation.lastpage | 544 | |
local.identifier.doi | 10.1016/j.physleta.2010.12.027 | |
Collections | ANU Research Publications |
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