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

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dc.contributor.author Klein, Sebastian
dc.date.accessioned 2017-10-02T16:51:58Z
dc.date.available 2017-10-02T16:51:58Z
dc.date.issued 2017-04-04
dc.identifier.citation Klein, S. (2017) ‘Spectral data for simply periodic solutions of the sinh-Gordon equation’, 54, pp. 129-149. doi: 10.1016/j.difgeo.2017.03.012 en
dc.identifier.volume 54 en
dc.identifier.startpage 129 en
dc.identifier.endpage 149 en
dc.identifier.issn 0926-2245
dc.identifier.uri http://hdl.handle.net/10468/4821
dc.identifier.doi 10.1016/j.difgeo.2017.03.012
dc.description.abstract This 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.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher Elsevier 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.uri https://creativecommons.org/licenses/by-nc-nd/4.0/ en
dc.subject Sinh-Gordon equation en
dc.subject Spectral theory en
dc.subject Integrable systems en
dc.subject Inverse problem en
dc.subject Jacobi variety en
dc.title Spectral data for simply periodic solutions of the sinh-Gordon equation en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Sebastian Klein, Mathematical Sciences, University College Cork, Cork, Ireland. +353-21-490-3000 Email: sebastian.klein@ucc.ie en
dc.internal.availability Full text available en
dc.check.info Access to this item is restricted for 24 months after publication by request of the publisher. en
dc.check.date 2019-04-04
dc.description.version Accepted Version en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Differential Geometry and its Applications en
dc.internal.IRISemailaddress sebastian.klein@ucc.ie en


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© 2017, Elsevier B.V. All rights reserved. This manuscript version is made available under the CC BY-NC-ND 4.0 license. Except where otherwise noted, this item's license is described as © 2017, Elsevier B.V. All rights reserved. This manuscript version is made available under the CC BY-NC-ND 4.0 license.
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