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arXiv · 0708.3245

Surface modes and breathers in finite arrays of nonlinear waveguides

Yu. V. Bludov·V. V. Konotop
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Abstract

We present the complete set of symmetric and antisymmetric (edge and corner) surface modes in finite one-- and two--dimensional arrays of waveguides. We provide classification of the modes based on the anti-continuum limit, study their stability and bifurcations, and discuss relation between surface and bulk modes. We put forward existence of surface breathers, which represent two-frequency modes localized about the array edges.

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Yu. V. Bludov, V. V. Konotop. 2007-08-23. Surface modes and breathers in finite arrays of nonlinear waveguides. https://doi.org/10.1103/physreve.76.046604

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