Eur. Phys. J. D 55, 147-153 (2009)
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

Abstract

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.