Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation

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dc.contributor.authorGammal, A. [UNESP]
dc.contributor.authorFrederico, T.
dc.contributor.authorTomio, Lauro [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionCentro Técnico Aeroespacial
dc.date.accessioned2014-05-27T11:19:49Z
dc.date.available2014-05-27T11:19:49Z
dc.date.issued1999-12-01
dc.description.abstractIn the present work, we improve a numerical method, developed to solve the Gross-Pitaevkii nonlinear Schrödinger equation. A particular scaling is used in the equation, which permits us to evaluate the wave-function normalization after the numerical solution. We have a two-point boundary value problem, where the second point is taken at infinity. The differential equation is solved using the shooting method and Runge-Kutta integration method, requiring that the asymptotic constants, for the function and its derivative, be equal for large distances. In order to obtain fast convergence, the secant method is used. © 1999 The American Physical Society.en
dc.description.affiliationInst. de Fis. Teórica Universidade Estadual Paulista, 01405-900 São Paulo
dc.description.affiliationDepartamento de Física Inst. Tecn. da Aeronáutica Centro Técnico Aeroespacial, 12228-900 Sao Jose dos Campos, SP
dc.description.affiliationUnespInst. de Fis. Teórica Universidade Estadual Paulista, 01405-900 São Paulo
dc.format.extent2421-2424
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.60.2421
dc.identifier.citationPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2421-2424, 1999.
dc.identifier.doi10.1103/PhysRevE.60.2421
dc.identifier.file2-s2.0-0001245204.pdf
dc.identifier.issn1063-651X
dc.identifier.lattes8621258845956348
dc.identifier.scopus2-s2.0-0001245204
dc.identifier.urihttp://hdl.handle.net/11449/65946
dc.identifier.wosWOS:000082235100098
dc.language.isoeng
dc.relation.ispartofPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleImproved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equationen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
unesp.author.lattes8621258845956348
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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