Bistability and instability of dark-antidark solitons in the   cubic-quintic nonlinear Schroedinger equation
  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 existence and properties of solitons in terms of catastrophe theory and fully characterize bistability and instabilities of the dark-antidark pairs, revealing new mechanisms of decay of antidark solitons. 
M. Crosta, A. Fratalocchi and S. Trillo
nlin.PS physics.optics