Abdullaev, Fatkhulla Kh. [UNESP]Caputo, Jean GuyKraenkel, Roberto André [UNESP]Malomed, Boris A. [UNESP]2014-05-272014-05-272003-01-01Physical Review A - Atomic, Molecular, and Optical Physics, v. 67, n. 1, 2003.1050-2947http://hdl.handle.net/11449/67163A study was conducted on the dynamics of 2D and 3D Bose-Einstein condensates in the case when the scattering length in the Gross-Pitaevskii (GP) equation which contains constant (dc) and time-variable (ac) parts. Using the variational approximation (VA), simulating the GP equation directly, and applying the averaging procedure to the GP equation without the use of the VA, it was demonstrated that the ac component of the nonlinearity makes it possible to maintain the condensate in a stable self-confined state without external traps.engApproximation theoryAtomic beamsComputer simulationElectron scatteringIntegral equationsLight propagationMagnetic field effectsMathematical modelsNonlinear opticsOrdinary differential equationsPerturbation techniquesSolitonsAtomic scattering lengthBose-Einstein condensateDirect numerical simulationGross-Pitaevskii equationSelf-confined condensateTemporal modulationVariational approximationQuantum theoryArtigo10.1103/PhysRevA.67.013605WOS:000180804600102Acesso aberto2-s2.0-00372420352-s2.0-0037242035.pdf