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dc.contributor.authorGeng, Jiansheng
dc.contributor.authorYi, Yingfei
dc.date.accessioned2009-08-05T17:30:24Z
dc.date.available2009-08-05T17:30:24Z
dc.date.issued2005
dc.identifier.urihttp://hdl.handle.net/1853/29413
dc.description1991 Mathematics Subject Classification. Primary 37K55, 35B10, 35J10, 35Q40, 35Q55.en
dc.description.abstractIn this paper, one-dimensional (1D) nonlinear Schrödinger equation [equation omitted] with the periodic boundary condition is considered. It is proved that for each given constant potential m and each prescribed integer N > 1, the equation admits a Whitney smooth family of small-amplitude, time quasi-periodic solutions with N Diophantine frequencies. The proof is based on a partial Birkho ff normal form reduction and an improved KAM method.en
dc.description.sponsorshipPartially supported by NSF grant DMS0204119.en
dc.language.isoen_USen
dc.publisherGeorgia Institute of Technologyen
dc.relation.ispartofseriesCDSNS2005-407en
dc.subjectSchrödinger equationen
dc.subjectHamiltonian systemsen
dc.subjectKAM theoryen
dc.subjectNormal formen
dc.subjectQuasi-periodic solutionen
dc.titleQuasi-Periodic Solutions in a Nonlinear Schrödinger Equationen
dc.typePre-printen
dc.contributor.corporatenameGeorgia Institute of Technology. School of Mathematics


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