A diversity of localised solutions of the one-dimensional nonlinear Schrodinger (NLS) equation with a periodic potential is found. Among them are bright and dark solitons and complex coupled solitary waves. These objects have been found by analysing a discrete dynamical system associated with this equation. Direct numerical integrations of the NLS system show that some of these solutions can be dynamically stable. The possibility to observe these solutions in real experiments is also briefly discussed.
Matter solitons in Bose-Einstein condensates with optical lattices
SALERNO, Mario
2002
Abstract
A diversity of localised solutions of the one-dimensional nonlinear Schrodinger (NLS) equation with a periodic potential is found. Among them are bright and dark solitons and complex coupled solitary waves. These objects have been found by analysing a discrete dynamical system associated with this equation. Direct numerical integrations of the NLS system show that some of these solutions can be dynamically stable. The possibility to observe these solutions in real experiments is also briefly discussed.File in questo prodotto:
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