Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2009-03-20
Nonlinear Sciences
Pattern Formation and Solitons
6 figures
Scientific paper
The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrodinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical lattice, are studied in the presence of the long-range dipole-dipole (DD) interactions. The cases of both attractive and repulsive contact and DD interaction are considered. The results are summarized in the form of stability/collapse diagrams in the parametric space of the model, which demonstrate that the the attractive DD interactions stabilize the solitons and help to prevent the collapse. Mobility of the discrete solitons is briefly considered too.
Gligoric Goran
Hadzievski Lj.
Malomed Boris A.
Maluckov Aleksandra
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