Show simple item record

dc.contributor.authorKevrekidis, P. G.
dc.contributor.authorPelinovsky, Dmitry E.
dc.contributor.authorStefanov, Atanas G.
dc.date.accessioned2015-03-26T16:25:09Z
dc.date.available2015-03-26T16:25:09Z
dc.date.issued2009-11-05
dc.identifier.citationP. G. Kevrekidis, D. E. Pelinovsky, and A. Stefanov. "Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation." (2009) SIAM J. Math. Anal., 41(5), 2010–2030. (21 pages). http://dx.doi.org/10.1137/080737654.en_US
dc.identifier.urihttp://hdl.handle.net/1808/17220
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1137/080737654.en_US
dc.description.abstractAsymptotic stability of small bound states in one dimension is proved in the framework of a discrete nonlinear Schrödinger equation with septic and higher power-law nonlinearities and an external potential supporting a simple isolated eigenvalue. The analysis relies on the dispersive decay estimates from Pelinovsky and Stefanov [J. Math. Phys., 49 (2008), 113501] and the arguments of Mizumachi [J. Math. Kyoto Univ., 48 (2008), pp. 471–497] for a continuous nonlinear Schrödinger equation in one dimension. Numerical simulations suggest that the actual decay rate of perturbations near the asymptotically stable bound states is higher than the one used in the analysis.en_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.subjectdiscrete nonlinear Schrodinger equationsen_US
dc.subjectbound statesen_US
dc.subjectasymptotic stabilityen_US
dc.subjectStrichartz estimatesen_US
dc.titleAsymptotic stability of small solitons in the discrete nonlinear Schrödinger equation in one dimensionen_US
dc.typeArticle
kusw.kuauthorStefanov, Atanas G.
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1137/080737654
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item meets KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record