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Article: Periodic and localized wave patterns for coupled Ablowitz-Ladik systems with negative cross phase modulation

TitlePeriodic and localized wave patterns for coupled Ablowitz-Ladik systems with negative cross phase modulation
Authors
KeywordsAblowitz-Ladik equations
Hirota bilinear method
Discrete breathers
Rogue waves
Issue Date2018
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns
Citation
Communications in Nonlinear Science and Numerical Simulation, 2018, v. 65, p. 185-195 How to Cite?
AbstractA new system of coupled Ablowitz-Ladik equations is introduced where cubic nonlinearities from intensities of both waveguide arrays are included. The Hirota bilinear transform is formulated and is used to derive breathers periodic in space or time. One spatially periodic solution is utilized to verify the lowest order conservation laws. Algebraically localized rogue wave modes with pulsating properties are obtained from breathers in the limit of large wave periods. Incorporating additional modes of cubic nonlinearities, namely, cross phase modulations, in two arrays of oscillators on an integer lattice can further enhance the modeling capability in optical physics.
Persistent Identifierhttp://hdl.handle.net/10722/271231
ISSN
2019 Impact Factor: 4.115
2015 SCImago Journal Rankings: 1.575

 

DC FieldValueLanguage
dc.contributor.authorChan, HN-
dc.contributor.authorChow, KW-
dc.date.accessioned2019-06-24T01:05:53Z-
dc.date.available2019-06-24T01:05:53Z-
dc.date.issued2018-
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, 2018, v. 65, p. 185-195-
dc.identifier.issn1007-5704-
dc.identifier.urihttp://hdl.handle.net/10722/271231-
dc.description.abstractA new system of coupled Ablowitz-Ladik equations is introduced where cubic nonlinearities from intensities of both waveguide arrays are included. The Hirota bilinear transform is formulated and is used to derive breathers periodic in space or time. One spatially periodic solution is utilized to verify the lowest order conservation laws. Algebraically localized rogue wave modes with pulsating properties are obtained from breathers in the limit of large wave periods. Incorporating additional modes of cubic nonlinearities, namely, cross phase modulations, in two arrays of oscillators on an integer lattice can further enhance the modeling capability in optical physics.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns-
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectAblowitz-Ladik equations-
dc.subjectHirota bilinear method-
dc.subjectDiscrete breathers-
dc.subjectRogue waves-
dc.titlePeriodic and localized wave patterns for coupled Ablowitz-Ladik systems with negative cross phase modulation-
dc.typeArticle-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.cnsns.2018.05.020-
dc.identifier.scopuseid_2-s2.0-85047853158-
dc.identifier.hkuros298070-
dc.identifier.volume65-
dc.identifier.spage185-
dc.identifier.epage195-
dc.publisher.placeNetherlands-

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