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

摘要

We characterize the full family of soliton solutions sitting over a background plane wave and ruled by thecubic-quintic nonlinear Schr¨odinger equation in the regime where a quintic focusing term represents a saturationof the cubic defocusing nonlinearity. We discuss the existence and properties of solitons in terms of catastrophetheory and fully characterize bistability and instabilities of the dark-antidark pairs, revealing mechanisms ofdecay of antidark solitons into dispersive shock waves.