Spectral data for simply periodic solutions of the sinh-Gordon equation
| 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.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.description.status | Peer reviewed | en |
| dc.description.version | Accepted Version | en |
| dc.format.mimetype | application/pdf | en |
| 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.doi | 10.1016/j.difgeo.2017.03.012 | |
| dc.identifier.endpage | 149 | en |
| dc.identifier.issn | 0926-2245 | |
| dc.identifier.journaltitle | Differential Geometry and its Applications | en |
| dc.identifier.startpage | 129 | en |
| dc.identifier.uri | https://hdl.handle.net/10468/4821 | |
| dc.identifier.volume | 54 | 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 |
