Stationary solutions to a nonlinear Schrödinger equation with potential in one dimension
Published online by Cambridge University Press: 12 July 2007
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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