Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body

Details Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body

2005-04-29

arxiv.org/abs/nlin/0504061v2

Phys. Lett. A 350, 192-196 (2006)

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, revised version with additions and corrections

Scientific paper

10.1016/j.physleta.2005.08.099

Supersonic flow of Bose-Einstein condensate past macroscopic obstacles is studied theoretically. It is shown that in the case of large obstacles the Cherenkov cone transforms into a stationary spatial shock wave which consists of a number of spatial dark solitons. Analytical theory is developed for the case of obstacles having a form of a slender body. This theory explains qualitatively the properties of such shocks observed in recent experiments on nonlinear dynamics of condensates of dilute alkali gases.

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