Kraenkel, Roberto André [UNESP]Nakkeeran, K.Chow, K. W.2013-09-302014-05-202013-09-302014-05-202011-01-01Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 16, n. 1, p. 86-92, 2011.1007-5704http://hdl.handle.net/11449/24148We investigate the nonlinear Schrodinger equation with a time-dependent nonlinear coefficient. By means of Painleve analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding soliton solution is shown to be of the self-similar kind. We discuss the implications of the result to the dynamics of attractive Bose-Einstein condensates under Feshbach-managed nonlinearity and explore the possibility of a managed self-similar evolution in 1D condensates. (C) 2010 Elsevier B.V. All rights reserved.86-92engNonlinear Schrodinger equationBose-Einstein condensate (BEC)SolitonHirota bilinear methodArtigo10.1016/j.cnsns.2010.03.006WOS:000282154900007Acesso restrito