Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schrödinger equation

@article{Crosta2011BistabilityAI,
  title={Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schr{\"o}dinger equation},
  author={M. Crosta and Andrea Fratalocchi and Stefano Trillo},
  journal={Physical Review A},
  year={2011},
  volume={84},
  pages={063809}
}
We characterize the full family of soliton solutions sitting over a background plane wave and ruled by the cubic-quintic nonlinear Schroedinger equation in the regime where a quintic focusing term represents a saturation of the cubic defocusing nonlinearity. We discuss the existence and properties of solitons in terms of catastrophe theory and fully characterize bistability and instabilities of the dark-antidark pairs, revealing mechanisms of decay of antidark solitons into dispersive shock… 
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