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

By M. Crosta, A. Fratalocchi and S. Trillo

Abstract

We characterize the full family of soliton solutions sitting over a background plane wave and ruled by the cubic-quintic nonlinear Schr¨odinger 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 waves

Topics: shock, soliton, self-focusing, collapse
Year: 2011
DOI identifier: 10.1103/PhysRevA.84.063809
OAI identifier: oai:iris.unife.it:11392/1684518
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