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The nonlinear dynamics of self-bound Bose-Einstein matter waves under the action of an attractive nonlocal and a repulsive local interaction is analyzed by means of a time-dependent variational formalism. The mean-field model described by the Gross-Pitaevskii equation is reduced to a single second-order conservative ordinary differential equation admitting a potential function. The stable fixed points and the linear oscillation frequencies of the breather modes are determined. The chosen nonlocal interactions are a Gaussian-shaped potential and a van der Waals-like potential. The variational solutions are compared with direct numerical simulations of the Gross-Pitaevskii equation, for each of these nonlocalities. The spatio-temporal frequency spectra of linear waves are also determined.
|Number of pages||10|
|Journal||Journal of Physics B: Atomic, Molecular and Optical Physics|
|Early online date||26 Jul 2018|
|Publication status||Published - 16 Aug 2018|
- Bose Einstein condensate
- variational approach
- Gross-Pitaevskii equation
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- 1 Finished
26/01/15 → 25/07/18