{ "id": "math/0404450", "version": "v3", "published": "2004-04-25T20:26:14.000Z", "updated": "2004-05-05T13:24:11.000Z", "title": "Periodic nonlinear Schrödinger equation with application to photonic crystals", "authors": [ "A. Pankov" ], "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "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.", "revisions": [ { "version": "v3", "updated": "2004-05-05T13:24:11.000Z" } ], "analyses": { "subjects": [ "35Q55", "58E50", "78M30" ], "keywords": [ "periodic nonlinear schrödinger equation", "photonic crystals", "application", "periodic stationary nonlinear", "basic results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......4450P" } } }