Gammal, A.Frederico, T.Tomio, L.Abdullaev, F. K.2014-05-202014-05-202000-03-27Physics Letters A. Amsterdam: Elsevier B.V., v. 267, n. 5-6, p. 305-311, 2000.0375-9601http://hdl.handle.net/11449/23746Considering the static solutions of the D-dimensional nonlinear Schrodinger equation with trap and attractive two-body interactions, the existence of stable solutions is limited to a maximum critical number of particles, when D greater than or equal to 2. In case D = 2, we compare the variational approach with the exact numerical calculations. We show that, the addition of a positive three-body interaction allows stable solutions beyond the critical number. In this case, we also introduce a dynamical analysis of the conditions for the collapse. (C) 2000 Published by Elsevier B.V. B.V. All rights reserved.305-311engnonlinear Schrodinger equationtrapped two and three-body atomic systemsmultidimensional systemsArtigo10.1016/S0375-9601(00)00114-6WOS:000086704100003Acesso restrito