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arxiv: math/0404450 · v3 · submitted 2004-04-25 · 🧮 math.AP · math-ph· math.MP

Periodic nonlinear Schr\"odinger equation with application to photonic crystals

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keywords nonlinearapplicationodingerperiodicschrbasiccrystalsdiscuss
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We present basic results, known and new, on nontrivial solutions of periodic stationary nonlinear Schr\"odinger equations. We also sketch an application to nonlinear optics and discuss some open problems.

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