English

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

Pattern Formation and Solitons 2009-11-11 v2 Soft Condensed Matter

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0504061,
  title  = {Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body},
  author = {G. A. El and A. M. Kamchatnov},
  journal= {arXiv preprint arXiv:nlin/0504061},
  year   = {2009}
}

Comments

10 pages, revised version with additions and corrections