Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
30/09/2013
20/05/2014
30/09/2013
20/05/2014
01/01/2011
|
| Resumo |
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. |
| Formato |
86-92 |
| Identificador |
http://dx.doi.org/10.1016/j.cnsns.2010.03.006 Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 16, n. 1, p. 86-92, 2011. 1007-5704 http://hdl.handle.net/11449/24148 10.1016/j.cnsns.2010.03.006 WOS:000282154900007 |
| Idioma(s) |
eng |
| Publicador |
Elsevier B.V. |
| Relação |
Communications in Nonlinear Science and Numerical Simulation |
| Direitos |
closedAccess |
| Palavras-Chave | #Nonlinear Schrodinger equation #Bose-Einstein condensate (BEC) #Soliton #Hirota bilinear method |
| Tipo |
info:eu-repo/semantics/article |
