# 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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## 29 Citations

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Ring dark and antidark solitons in nonlocal media are found and it is demonstrated analytically that they satisfy an effective cylindrical Kadomtsev-Petviashvili equation and, as such, can be written explicitly in closed form.

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A bstractThe concept of quasi-integrability has been examined in the context of deformations of the defocusing non-linear Schrödinger model (NLS). Our results show that the quasi-integrability…

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The modulational instability (MI) analysis of a plane wave in this system is carried out by employing the linear stability analysis and investigates the influence of different physical parameters on the MI gain spectra, finding intriguing chirped antidark, bright, gray, and dark solitary waves depending upon the nature of nonlinearities.

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