Periodic nonlinear Schrödinger equation with application to photonic crystals

Details Periodic nonlinear Schrödinger equation with application to photonic crystals Periodic nonlinear Schrödinger equation with application to photonic crystals

2004-04-25

arxiv.org/abs/math/0404450v3

Mathematics

Analysis of PDEs

Scientific paper

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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