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arXiv 2012.14680math.APmath-phmath.MP
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Bifurcating standing waves for effective equations in gapped honeycomb structures

William Borrelli, Raffaele Carlone

英文摘要:

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.

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