Integrable nonlocal reductions

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dc.citation.epage52en_US
dc.citation.spage27en_US
dc.citation.volumeNumber266en_US
dc.contributor.authorGürses, Metinen_US
dc.contributor.authorPekcan, A.en_US
dc.date.accessioned2019-02-21T16:03:42Z
dc.date.available2019-02-21T16:03:42Z
dc.date.issued2018en_US
dc.departmentDepartment of Mathematicsen_US
dc.descriptionConference name: SDEA-IIIen_US
dc.descriptionDate of Conference: August 2017en_US
dc.description.abstractWe present some nonlocal integrable systems by using the Ablowitz-Musslimani nonlocal reductions. We first present all possible nonlocal reductions of nonlinear Schrödinger (NLS) and modified Korteweg-de Vries (mKdV) systems. We give soliton solutions of these nonlocal equations by using the Hirota method. We extend the nonlocal NLS equation to nonlocal Fordy-Kulish equations by utilizing the nonlocal reduction to the Fordy-Kulish system on symmetric spaces. We also consider the super AKNS system and then show that Ablowitz-Musslimani nonlocal reduction can be extended to super integrable equations. We obtain new nonlocal equations namely nonlocal super NLS and nonlocal super mKdV equations.
dc.description.provenanceMade available in DSpace on 2019-02-21T16:03:42Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018en
dc.description.sponsorshipAcknowledgements This work is partially supported by the Scientific and Technological Research Council of Turkey (TÜB˙TAK).
dc.identifier.doi10.1007/978-3-030-01376-9_2
dc.identifier.doi10.1007/978-3-030-01376-9en_US
dc.identifier.isbn9783030013752
dc.identifier.issn2194-1009
dc.identifier.urihttp://hdl.handle.net/11693/50128
dc.language.isoEnglish
dc.publisherSpringer New York LLC
dc.relation.isversionofhttps://doi.org/10.1007/978-3-030-01376-9_2
dc.relation.isversionofhttps://doi.org/10.1007/978-3-030-01376-9en_US
dc.relation.projectTürkiye Bilimsel ve Teknolojik Araştirma Kurumu, TÜBITAK
dc.source.titleSymmetries, Differential Equations and Applicationsen_US
dc.subjectAblowitz-Musslimani type reductionsen_US
dc.subjectHirota bilinear methoden_US
dc.subjectNonlocal Fordy-Kulish systemen_US
dc.subjectNonlocal NLS and mKdV equationsen_US
dc.subjectNonlocal super integrable NLS and mKdV equationsen_US
dc.subjectSoliton solutionsen_US
dc.titleIntegrable nonlocal reductionsen_US
dc.typeConference Paperen_US

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