https://doi.org/10.1140/epjd/e2009-00223-5
Dynamically compressed bright and dark solitons in highly anisotropic Bose-Einstein condensates
1
Department of Electronic Engineering, Shunde Polytechnic College, Guangdong
Province, Shunde, 528300, P.R. China
2
Texas A&M University at Qatar, P.O. Box, 23874 Doha, Qatar
3
Department of Mathematics, Texas A & M University, College, Station, TX, 77843, USA
4
School of Electronic and Information Engineering, South China
University of Technology, Guangzhou, 510640, P.R. China
Corresponding author: a zhongwp5@126.com
Received:
17
January
2009
Revised:
14
June
2009
Published online:
7
August
2009
Bright and dark matter wave solitons are constructed analytically in a three-dimensional (3D) highly anisotropic Bose-Einstein condensate (BEC) with a time-dependent parabolic potential, and numerical simulations are performed to confirm the existence and dynamics of such analytical solutions. Different classes of bright and dark solitons are discovered among the solutions of the generalized anisotropic (3+1)D Gross-Pitaevskii equation. Our results demonstrate that the bright and dark solitary waves can be manipulated and controlled by changing the scattering length, which can be used to compress the second-order bright and dark solitons of BECs into desired peak density.
PACS: 42.65.Tg – Optical solitons; nonlinear guided waves / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009