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Multi-rogue waves and triangular numbers

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dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAkhmediev, Nail
dc.contributor.authorClarkson, Peter A.
dc.contributor.authorDowie, E.
dc.date.accessioned2020-12-20T20:57:23Z
dc.date.available2020-12-20T20:57:23Z
dc.date.issued2017
dc.date.updated2020-11-23T10:51:28Z
dc.description.abstractMulti-rogue wave solutions of integrable equations have a very specific number of elementary components within their structures. These numbers are given by the “triangular numbers” for the nth -order solution. This contrasts with the case of multi-soliton solutions, where the number of solitons is n. This fact reveals a significant difference between the higher-order rogue waves and the higher-order solitons. Each nth step of generation of multi-rogue wave solutions adds n elementary rogue waves to the solution, in contrast to n-soliton solutions, where each step adds only one soliton to the existing n−1 solitons in the composition. We provide the mathematical analysis for the number of ‘elementary particles’ in the composite rogue wave structures
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0022-2526
dc.identifier.urihttp://hdl.handle.net/1885/218247
dc.language.isoen_AUen_AU
dc.publisherBlackwell Publishing Ltd
dc.sourceStudies in Applied Mathematics
dc.titleMulti-rogue waves and triangular numbers
dc.typeJournal article
local.bibliographicCitation.issue1
local.contributor.affiliationAnkiewicz, Adrian, College of Science, ANU
local.contributor.affiliationAkhmediev, Nail, College of Science, ANU
local.contributor.affiliationClarkson, Peter A, University of Kent
local.contributor.affiliationDowie, E., University of Kent
local.contributor.authoruidAnkiewicz, Adrian, u8204998
local.contributor.authoruidAkhmediev, Nail, u9111648
local.description.notesImported from ARIES
local.identifier.absfor020500 - OPTICAL PHYSICS
local.identifier.ariespublicationa383154xPUB6972
local.identifier.citationvolume69
local.identifier.scopusID2-s2.0-85018315157
local.type.statusMetadata only

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