Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/157573
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dc.contributor.authorChowdury, Amdaden_US
dc.contributor.authorAkhmediev, Nailen_US
dc.contributor.authorChang, Wonkeunen_US
dc.date.accessioned2022-05-11T02:45:08Z-
dc.date.available2022-05-11T02:45:08Z-
dc.date.issued2020-
dc.identifier.citationChowdury, A., Akhmediev, N. & Chang, W. (2020). Concurrent instabilities causing multiple rogue waves in infinite-dimensional dynamical systems. Nonlinear Dynamics, 99(3), 2265-2275. https://dx.doi.org/10.1007/s11071-019-05420-9en_US
dc.identifier.issn0924-090Xen_US
dc.identifier.urihttps://hdl.handle.net/10356/157573-
dc.description.abstractComplex instabilities are the major reason for drastic changes and extreme events in dynamical systems. Several modes of instability growing simultaneously with nonlinear interaction between them may lead to unforeseeable outcomes leading to catastrophic consequences. The most common examples of these instabilities are the modulation instability (MI). Studies show that an infinite number of instability modes remain active in a dynamical system. Although a one-mode MI can be analysed in the frame of a precise mathematical model, namely the Akhmediev breather, the dynamics of several concurrent MI modes referred to as the higher-order MI is very difficult to handle. We developed a unique geometrical approach that provides an entirely new and intuitive way to deal with higher-order MI. We apply this approach in description of higher-order modulation instability, multi-breather solutions, their degenerate versions and higher-order rogue waves of the nonlinear Schrödinger equation. For a system with infinitely many interacting instability modes, the band of the instability in this description is a hypercube, a multi-dimensional space of modulation frequencies. A large variety of special multi-breather and multi-rogue wave solutions of the nonlinear Schrödinger equation in this description corresponds to special points and lines within this hypercube.en_US
dc.language.isoenen_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.rights© 2019 Springer Nature B.V. All rights reserved.en_US
dc.subjectEngineering::Electrical and electronic engineeringen_US
dc.titleConcurrent instabilities causing multiple rogue waves in infinite-dimensional dynamical systemsen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Electrical and Electronic Engineeringen_US
dc.identifier.doi10.1007/s11071-019-05420-9-
dc.identifier.scopus2-s2.0-85076560078-
dc.identifier.issue3en_US
dc.identifier.volume99en_US
dc.identifier.spage2265en_US
dc.identifier.epage2275en_US
dc.subject.keywordsNonlinear Schrödinger Equationen_US
dc.subject.keywordsAkhmediev Breatheren_US
dc.description.acknowledgementFunding was provided by Australian Research Council (Grant No. DP150102057).en_US
local.message.claim2022-05-12T07:00:06.290+0000|||rp01298|||submit_approve|||dc_contributor_author|||None*
item.grantfulltextnone-
item.fulltextNo Fulltext-
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