Spectral data for simply periodic solutions of the sinh-Gordon equation

dc.check.date2019-04-04
dc.check.infoAccess to this item is restricted for 24 months after publication by request of the publisher.en
dc.contributor.authorKlein, Sebastian
dc.date.accessioned2017-10-02T16:51:58Z
dc.date.available2017-10-02T16:51:58Z
dc.date.issued2017-04-04
dc.description.abstractThis note summarizes results that were obtained by the author in his habilitation thesis concerning the development of a spectral theory for simply periodic, 2-dimensional, complex-valued solutions u of the sinh-Gordon equation. Spectral data for such solutions are defined for periodic Cauchy data on a line (following Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization. Using methods of asymptotic estimates, the inverse problem for the spectral data of such Cauchy data is answered. Finally a Jacobi variety for the spectral curve is constructed, and this is used to study the asymptotic behavior of the spectral data corresponding to actual simply periodic solutions of the sinh-Gordon equation on strips of positive height.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationKlein, S. (2017) ‘Spectral data for simply periodic solutions of the sinh-Gordon equation’, 54, pp. 129-149. doi: 10.1016/j.difgeo.2017.03.012en
dc.identifier.doi10.1016/j.difgeo.2017.03.012
dc.identifier.endpage149en
dc.identifier.issn0926-2245
dc.identifier.journaltitleDifferential Geometry and its Applicationsen
dc.identifier.startpage129en
dc.identifier.urihttps://hdl.handle.net/10468/4821
dc.identifier.volume54en
dc.language.isoenen
dc.publisherElsevier Ltd.en
dc.rights© 2017, Elsevier B.V. All rights reserved. This manuscript version is made available under the CC BY-NC-ND 4.0 license.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectSinh-Gordon equationen
dc.subjectSpectral theoryen
dc.subjectIntegrable systemsen
dc.subjectInverse problemen
dc.subjectJacobi varietyen
dc.titleSpectral data for simply periodic solutions of the sinh-Gordon equationen
dc.typeArticle (peer-reviewed)en
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Klein.pdf
Size:
405.22 KB
Format:
Adobe Portable Document Format
Description:
Accepted Version
License bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
license.txt
Size:
2.71 KB
Format:
Item-specific license agreed upon to submission
Description: