Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
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Undergraduate course
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Elsevier B.V.
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Article
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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.
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Keywords
Nonlinear Schrodinger equation, Bose-Einstein condensate (BEC), Soliton, Hirota bilinear method
Language
English
Citation
Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 16, n. 1, p. 86-92, 2011.
