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Soliton solutions of 3D Gross-Pitaevskii equation by a potential control method

We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensates (BECs). By imposing an external controlling potential, a desired time-dependent shape of the localized BEC excitation is obtained. The stability of some obtained localized solutions is checked by solving the time-dependent GP equation numerically with analytic solutions as initial conditions. The analytic solutions can be used to design external potentials to control the localized BECs in experiment.

preprint2009arXivOpen access
Renato FedeleBengt EliassonFernando HaasPadma Kant ShuklaDusan JovanovicSergio De Nicola
nlin.PSnlin.SI
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Open access6 authors2 topics
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Renato FedeleBengt EliassonFernando HaasPadma Kant ShuklaDusan JovanovicSergio De Nicola

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