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arXiv · 1111.1872

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

M. Crosta·A. Fratalocchi·S. Trillo
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Abstract

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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M. Crosta, A. Fratalocchi, S. Trillo. 2011-11-08. Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schroedinger equation. https://doi.org/10.1103/physreva.84.063809

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