Two-Dimensional Soliton Interaction for Multi-component Bose-Einstein Condensates
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摘要:
For two-component disk-shaped Bose-Einstein condensates with repulsive atom-atom interaction,the small amplitude,finite and long wavelength nonlinear waves can be described by a Kadomtsev-Petviashvili-Ⅰ equation at the lowest order from the original coupled Gross-Pitaevskii equations.One- and two-soliton solutions of the Kadomtsev-Petviashvili-Ⅰ equation are given,therefore,the wave functions of both atomic gases are obtained as well.The instability of a soliton under higher-order long wavelength disturbance has been investigated.It is found that the instability depends on the angle between two directions of both soliton and disturbance.