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

M. Crosta, Andrea Fratalocchi, S. Trillo

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

We characterize the full family of soliton solutions sitting over a background plane wave and ruled by the cubic-quintic nonlinear Schrödinger 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.
Original languageEnglish (US)
JournalPhysical Review A
Volume84
Issue number6
DOIs
StatePublished - Dec 5 2011

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