Head-on collision of ring dark solitons in Bose-Einstein condensates

• 来源期刊: 中国物理（英文版）
• 关键词: ring dark solitons Bose-Einstein condensates head-on collision
• 年，卷（期）: 2006,（6）
• 页码范围: 1149-1153
• 页数: 5页
• 语种: 英文

摘要

The ring dark solitons and their head-on collisions in a Bose-Einstein condensates with thin disc-shaped potential are studied. It is shown that the system admits a solution with two concentric ring solitons, one moving inwards and the other moving outwards, which in small-amplitude limit, are described by the two cylindrical KdV equations in the shifts following the head-on collisions between two ring dark solitary waves are derived. It is shown that the phase shifts decrease with the radial coordinate r according to the r-1/3 law and depend on the initial soliton amplitude and radius.