Development of instability of dark solitons generated by a flow of Bose-Einstein condensate past a concave corner

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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4 pages, 2 figures, 1 table

Scientific paper

The stability of dark solitons generated by a supersonic flow of a Bose-Einstein condensate past a concave corner (or a wedge) is studied. It is shown that solitons in the dispersive shock wave generated at the initial moment of time demonstrate a snake instability during their evolution to stationary curved solitons. Time of decay of soliton to vortices agrees very well with analytical estimates of the instability growth rate.

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