Bifurcation of Gap Solitons in Coupled Mode Equations in $d$ Dimensions

11 Sep 2019 Dohnal Tomas Wahlers Lisa

We consider a system of first order coupled mode equations in $\mathbb{R}^d$ describing the envelopes of wavepackets in nonlinear periodic media. Under the assumptions of a spectral gap and a generic assumption on the dispersion relation at the spectral edge, we prove the bifurcation of standing gap solitons of the coupled mode equations from the zero solution... (read more)

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