Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation

Details Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation

2010-09-20

arxiv.org/abs/1009.3727v1

Phys. Rev. A, 80, 063626 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages, 4 figures

Scientific paper

We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity, and gain/loss. The zigzag propagation trace and the breathing behavior of solitons are observed. Different shapes of bright solitons and fascinating interactions between two solitons can be achieved with different parameters. The obtained results may raise the possibility of relative experiments and potential applications.

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