Bright soliton trains of trapped Bose-Einstein condensates
  We variationally determine the dynamics of bright soliton trains composed of harmonically trapped Bose-Einstein condensates with attractive interatomic interactions. In particular, we obtain the interaction potential between two solitons. We also discuss the formation of soliton trains due to the quantum mechanical phase fluctuations of a one-dimensional condensate. 
U. Al Khawaja, H. T. C. Stoof, R. G. Hulet, K. E. Strecker, and G. B.   Partridge