Weak Nonlinear Matter Waves in a Trapped Spin-1 Condensates

作者：Cai Hong Qiang; Yang Shu Rong; Xue Ju Kui^*

来源：Communications in Theoretical Physics, 2011, 55(4): 583-588.

DOI：10.1088/0253-6102/55/4/10

• spin-1 condensate
• weak nonlinear matter solitary wave
• variable-coefficient KdV equation

The dynamics of the weak nonlinear matter solitary waves in a spin-1 condensates with harmonic external potential are investigated analytically by a perturbation method. It is shown that, in the small amplitude limit, the dynamics of the solitary waves are governed by a variable-coefficient Korteweg-de Vries (KdV) equation. The reduction to the (KdV) equation may be useful to understand the dynamics of nonlinear matter waves in spinor BECs. The analytical expressions for the evolution of soliton show that the small-amplitude vector solitons of the mixed types perform harmonic oscillations in the presence of the trap. Furthermore, the emitted radiation profiles and the soliton oscillation frequency are also obtained.

• 出版日期2011-4
• 单位西北师范大学