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

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

2011-11-08

arxiv.org/abs/1111.1872v1

Nonlinear Sciences

Pattern Formation and Solitons

8 pages, 10 figures, accepted in PRA

Scientific paper

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.

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