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Asymptotic soliton train solutions of the defocusing nonlinear Schrödinger equation

dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorKamchatnov, A. M. [UNESP]
dc.contributor.authorUmarov, B. A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionRussian Academy of Sciences
dc.contributor.institutionUzbek Academy of Sciences
dc.date.accessioned2014-05-20T14:08:10Z
dc.date.accessioned2022-04-28T20:38:59Z
dc.date.available2014-05-20T14:08:10Z
dc.date.available2022-04-28T20:38:59Z
dc.date.issued2002-09-01
dc.description.abstractAsymptotic behavior of initially “large and smooth” pulses is investigated at two typical stages of their evolution governed by the defocusing nonlinear Schrödinger equation. At first, wave breaking phenomenon is studied in the limit of small dispersion. A solution of the Whitham modulational equations is found for the case of dissipationless shock wave arising after the wave breaking point. Then, asymptotic soliton trains arising eventually from a large and smooth initial pulse are studied by means of a semiclassical method. The parameter varying along the soliton train is calculated from the generalized Bohr-Sommerfeld quantization rule, so that the distribution of eigenvalues depends on two functions—intensity [formula presented] of the initial pulse and its initial chirp [formula presented] The influence of the initial chirp on the asymptotic state is investigated. Excellent agreement of the numerical solution of the defocusing NLS equation with predictions of the asymptotic theory is found. © 2002 The American Physical Society.en
dc.description.affiliationRussian Acad Sci, Inst Spect, Troitsk 142190, Moscow Region, Russia
dc.description.affiliationUniv Estadual Paulista, UNESP, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUzbek Acad Sci, Phys Tech Inst, Tashkent 700084 84, Uzbekistan
dc.description.affiliationInstitute of Spectroscopy Russian Academy of Sciences, Troitsk, Moscow Region, 142190
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista–UNESP, Rua Pamplona 145, São Paulo, 01405-900
dc.description.affiliationPhysical-Technical Institute Uzbek Academy of Sciences, G. Mavlyanov Street, 2-b, Tashkent-84, 700084
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista–UNESP, Rua Pamplona 145, São Paulo, 01405-900
dc.format.extent10
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.66.036609
dc.identifier.citationPhysical Review E. College Pk: Amer Physical Soc, v. 66, n. 3, 10 p., 2002.
dc.identifier.citationPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 66, n. 3, 2002.
dc.identifier.doi10.1103/PhysRevE.66.036609
dc.identifier.fileWOS000178624400036.pdf
dc.identifier.issn1539-3755
dc.identifier.issn1063-651X
dc.identifier.scopus2-s2.0-41349118480
dc.identifier.urihttp://hdl.handle.net/11449/244047
dc.identifier.wosWOS:000178624400036
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.ispartofPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.sourceScopus
dc.titleAsymptotic soliton train solutions of the defocusing nonlinear Schrödinger equationen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
dcterms.rightsHolderAmer Physical Soc
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt

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