On-demand generation of dark soliton trains in Bose-Einstein condensates

@article{RomeroRos2020OndemandGO,
  title={On-demand generation of dark soliton trains in Bose-Einstein condensates},
  author={A. Romero-Ros and G. C. Katsimiga and Panayotis G. Kevrekidis and Barbara Prinari and Gino Biondini and Peter Schmelcher},
  journal={Physical Review A},
  year={2020},
  volume={103},
  pages={023329}
}
Matter-wave interference mechanisms in one-dimensional Bose-Einstein condensates that allow for the controlled generation of dark soliton trains upon choosing suitable box-type initial configurations are described. First, the direct scattering problem for the defocusing nonlinear Schr\"odinger equation with nonzero boundary conditions and general box-type initial configurations is discussed, and expressions for the discrete spectrum corresponding to the dark soliton excitations generated by the… 

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