Dissipationless shock waves in repulsive Bose-Einstein condensates

TL;DR

This paper studies how large initial density variations in repulsive Bose-Einstein condensates cause wave breaking and generate dark soliton trains, with analytical and numerical validation.

Contribution

It demonstrates the formation of dissipationless shock waves and dark soliton trains in Bose-Einstein condensates with repulsive interactions, combining analytical and numerical approaches.

Findings

Large initial inhomogeneity causes wave breaking.

Wave breaking leads to dark soliton train formation.

Analytical results agree with numerical simulations.

Abstract

We consider formation of dissipationless shock waves in Bose-Einstein condensates with repulsive interaction between atoms. It is shown that big enough initial inhomogeneity of density leads to wave breaking phenomenon followed by generation of a train of dark solitons. Analytical theory is confirmed by numerical simulations.