Geodesic
Bifurcating standing waves for effective equations in gapped honeycomb structures
Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 1, pp. 5-14.

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In this paper, we deal with two-dimensional cubic Dirac equations, appearing as an 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.
Keywords: nonlinear Dirac equations, bifurcation methods, existence results, honeycomb structures. 
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     author = {W. Borrelli and R. Carlone},
     title = {Bifurcating standing waves for effective equations in gapped honeycomb structures},
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     url = {http://geodesic.mathdoc.fr/item/NANO_2021_12_1_a0/}
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W. Borrelli; R. Carlone. Bifurcating standing waves for effective equations in gapped honeycomb structures. Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 1, pp. 5-14. http://geodesic.mathdoc.fr/item/NANO_2021_12_1_a0/