{ "id": "0910.3555", "version": "v1", "published": "2009-10-19T13:22:40.000Z", "updated": "2009-10-19T13:22:40.000Z", "title": "Ground states for a system of nonlinear Schrodinger equations with three waves interaction", "authors": [ "Alessio Pomponio" ], "comment": "22 pages", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "We consider a system of nonlinear Schrodinger equations with three waves interaction studying the existence of ground state solutions. In particular, we find a vector ground state, namely a ground state with the three components all different from zero.", "revisions": [ { "version": "v1", "updated": "2009-10-19T13:22:40.000Z" } ], "analyses": { "subjects": [ "35J50", "35J60", "35Q55" ], "keywords": [ "nonlinear schrodinger equations", "ground state solutions", "vector ground state", "components", "waves interaction studying" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.3555P" } } }