{ "id": "math/0506010", "version": "v1", "published": "2005-06-01T15:00:52.000Z", "updated": "2005-06-01T15:00:52.000Z", "title": "Coupled nonlinear Schrodinger systems with potentials", "authors": [ "Alessio Pomponio" ], "comment": "21 pages", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "Coupled nonlinear Schrodinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of concentrating solutions of a singularly perturbed coupled nonlinear Schrodinger system, in presence of potentials. We show how the location of the concentration points depends strictly on the potentials.", "revisions": [ { "version": "v1", "updated": "2005-06-01T15:00:52.000Z" } ], "analyses": { "subjects": [ "35B40", "35J50", "35Q55" ], "keywords": [ "potentials", "perturbed coupled nonlinear schrodinger system", "singularly perturbed coupled nonlinear schrodinger", "bose-einstein condensates", "birefringent optical fibers" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.jde.2005.09.002", "journal": "Journal of Differential Equations", "year": 2006, "volume": 227, "number": 1, "pages": 258 }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006JDE...227..258P" } } }