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Corpus ID: 229924016

Bifurcating standing waves for effective equations in gapped honeycomb structures

@inproceedings{Borrelli2020BifurcatingSW,
title={Bifurcating standing waves for effective equations in gapped honeycomb structures},
author={William Borrelli and R. Carlone},
year={2020}
}

In this paper we deal with two-dimensional cubic Dirac equations appearing as effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schrödinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.