Head-on collision of ring dark solitons in Bose--Einstein condensates |
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Authors: | Xue Ju-Kui and Peng Ping |
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Institution: | Physics and Electronics Engineering College,Northwest Normal University, Lanzhou 730070, China |
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Abstract: | 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 respective reference
frames. By using the extended Poincar\'e--Lighthill--Kuo
perturbation method, the analytical phase 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. |
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Keywords: | ring dark solitons Bose-Einstein
condensates head-on collision |
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