Wang Ying, Chen Yujie, Dai Jun, Zhao Li, Wen Wen, Wang Wei
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
School of Materials Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang 212100, China.
Chaos. 2021 Feb;31(2):023105. doi: 10.1063/5.0031741.
This study explored the two-dimensional Bose-Einstein condensate with an inter-particle nonlinear interaction up to quintic order. Based on the two-dimensional Gross-Pitaevskii equation model with quintic-order nonlinearity, we first derived the bright soliton solution for the system based on the self-similar approach and the modified variational method. We identified that the kinematic quantities derived from the two methods agreed very well. The two-dimensional sonic horizon formation dynamics was then calculated based on the bright soliton solution that was obtained. The periodic formation and evolution patterns of the two-dimensional sonic horizon were quantitatively analyzed and pictorially illustrated. The results can be used to guide sonic black hole related phenomenon observations in a two-dimensional Bose-Einstein condensate with quintic-order nonlinearity.
