摘要
The dynamics of the weak non//near matter sofitary 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-coetficient 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.
基金
Supported by the National Natural Science Foundation of China under Grant Nos.10774120 and 10975114
the Natural Science Foundation of Gansu Province under Grant No.1010RJZA012
Natural Science Foundation of Northwest Normal University under Grant No.NWNU-KJCXGC-03-48
