Brasil
| Otro
Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
Registro en:
Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 16, n. 1, p. 86-92, 2011.
1007-5704
10.1016/j.cnsns.2010.03.006
WOS:000282154900007
Autor
Kraenkel, Roberto André
Nakkeeran, K.
Chow, K. W.
Resumen
We 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. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)