Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC

Kraenkel, Roberto André; Nakkeeran, K.; Chow, K. W.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/24148

Title:

Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC

Author(s):

Institution:

University of Aberdeen
Universidade Estadual Paulista (UNESP)
University of Hong Kong

ISSN:

1007-5704

Sponsorship:

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Royal Society
Research Grants Council of the Hong Kong Special Administrative Region, China

Sponsorship Process Number:

RGC of the Hong Kong Special Administrative Region, China: HKU 7120/08E
Research Grants Council of the Hong Kong Special Administrative Region, China: HKU 7118/07E

Abstract:

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.

Issue Date:

1-Jan-2011

Citation:

Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 16, n. 1, p. 86-92, 2011.

Time Duration:

86-92

Publisher:

Elsevier B.V.

Keywords:

Nonlinear Schrodinger equation
Bose-Einstein condensate (BEC)
Soliton
Hirota bilinear method

Source:

http://dx.doi.org/10.1016/j.cnsns.2010.03.006

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/24148

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