Nonlinear Schrödinger flow in a periodic potential
- 1 May 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 61 (5), 5852-5863
- https://doi.org/10.1103/physreve.61.5852
Abstract
We report a study of solutions of the defocusing nonlinear Schrödinger equation in a spatially periodic potential. The ground-state solution and the steady flows of the system are studied analytically. Above a critical current, a steady state no longer exists and time-dependent solutions are generated, which are numerically simulated and described.Keywords
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