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

✍ Scribed by R.A. Kraenkel; K. Nakkeeran; K.W. Chow

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 249 KB
Volume: 16
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2010.03.006

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✦ Synopsis

We investigate the nonlinear Schrödinger equation with a time-dependent nonlinear coefficient. By means of Painlevé 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.

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