Wide localized solutions of the parity-time-symmetric nonautonomous nonlinear Schrödinger equation

dc.contributor.authorMeza, L. E. Arroyo [UNESP]
dc.contributor.authorDutra, A. De Souza [UNESP]
dc.contributor.authorHott, M. B. [UNESP]
dc.contributor.authorRoy, P.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionPhysics and Applied Mathematics Unit, Indian Statistical Institute
dc.date.accessioned2018-12-11T16:57:04Z
dc.date.available2018-12-11T16:57:04Z
dc.date.issued2015-01-20
dc.description.abstractBy using canonical transformations we obtain localized (in space) exact solutions of the nonlinear Schrödinger equation (NLSE) with cubic and quintic space and time modulated nonlinearities and in the presence of time-dependent and inhomogeneous external potentials and amplification or absorption (source or drain) coefficients. We obtain a class of wide localized exact solutions of NLSE in the presence of a number of non-Hermitian parity-time (PT)-symmetric external potentials, which are constituted by a mixing of external potentials and source or drain terms. The exact solutions found here can be applied to theoretical studies of ultrashort pulse propagation in optical fibers with focusing and defocusing nonlinearities. We show that, even in the presence of gain or loss terms, stable solutions can be found and that the PT symmetry is an important feature to guarantee the conservation of the average energy of the system.en
dc.description.affiliationUNESP Universidade Estadual Paulista, Campus de Guaratinguetá, Departamento de Física e Química
dc.description.affiliationPhysics and Applied Mathematics Unit, Indian Statistical Institute
dc.description.affiliationUnespUNESP Universidade Estadual Paulista, Campus de Guaratinguetá, Departamento de Física e Química
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.91.013205
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 91, n. 1, 2015.
dc.identifier.doi10.1103/PhysRevE.91.013205
dc.identifier.file2-s2.0-84921753969.pdf
dc.identifier.issn1550-2376
dc.identifier.issn1539-3755
dc.identifier.scopus2-s2.0-84921753969
dc.identifier.urihttp://hdl.handle.net/11449/171763
dc.language.isoeng
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleWide localized solutions of the parity-time-symmetric nonautonomous nonlinear Schrödinger equationen
dc.typeArtigo
unesp.author.lattes6314084638411003[2]
unesp.author.orcid0000-0003-3027-1066[2]

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