Gap solitons of a super-Tonks?Girardeau gas in a one-dimensional periodic potential

@article{Xu2013GapSO,
  title={Gap solitons of a super-Tonks?Girardeau gas in a one-dimensional periodic potential},
  author={T. F. Xu and X. L. Jing and H. G. Luo and C. S. Liu},
  journal={Journal of Physics B},
  year={2013},
  volume={46},
  pages={035301}
}
Motivated by the recent experimental realization of a super-Tonks?Girardeau (STG) gas (Haller et?al 2009 Science 325 1224), we study in detail the existence and stability of gap solitons of the STG gas in a one-dimensional optical lattice. In particular, we explore the composition relationship of various gap solitons and nonlinear Bloch waves, taking into account the interplay between the periodic potential and the nonlinear interaction. The analysis of the linear stability indicates that… 
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