Dynamics of Vortex Structure Formation during the Evolution of Modulation Instability of Dark Solitons

摘要

One of the actual and quickly developing spheres of modern dynamics is the turbulence theory in superfluids involving Bose-Einstein condensate (BEC) of atoms of alkaline elements. At studying the turbulence in BEC it is important to know how do vortices form and interact with each other, and what part do they play in process of transition from a condensate to a turbulence state. In the Bose-gas cloud vortex filaments occur naturally in splitting process of initially created in it extended vortex-free patterns, unstable against the spatial parameters modulation. A dark soliton serves frequently as a good model for these patterns.