Stability analysis of the D-dimensional nonlinear Schrodinger equation with trap and two- and three-body interactions
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Elsevier B.V.
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Considering 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.
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Physics Letters A. Amsterdam: Elsevier B.V., v. 267, n. 5-6, p. 305-311, 2000.
