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Stationary solutions to a nonlinear Schrödinger equation with potential in one dimension

Published online by Cambridge University Press:  12 July 2007

Mihai Mariş
Mihai Mariş
Affiliation:
Université de Paris-Sud, Département de Mathématiques UMR 8628, Bât. 425, 91405 Orsay Cedex, France ([email protected])
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Abstract

We study the one-dimensional Gross-Pitaevskii-Schrödinger equation with a potential U moving at velocity v. For a fixed v less than the sound velocity, it is proved that there exist two time-independent solutions if the potential is not too big.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 2 , April 2003 , pp. 409 - 437
Copyright
Copyright © Royal Society of Edinburgh 2003

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