A linear Schrödinger approximation for the KdV equation via IST beyond the natural NLS time scale
| dc.contributor.author | Hofbauer, Sarah | |
| dc.contributor.author | Schneider, Guido | |
| dc.date.accessioned | 2025-10-28T16:53:48Z | |
| dc.date.issued | 2025 | |
| dc.date.updated | 2025-10-27T18:04:46Z | |
| dc.description.abstract | We are interested in improving validity results for the nonlinear Schrödinger (NLS) approximation beyond the natural time scale for completely integrable systems. As a first step, we consider this approximation for the Korteweg-de Vries equation with initial conditions for which the scattering data contain no eigenvalues. By performing a linear Schrödinger approximation for the scattering data, the error made by this approximation has only to be estimated for a purely linear problem which gives estimates beyond the natural NLS time scale. The inverse scattering transform allows us to transfer these estimates to the original variables. | en |
| dc.description.sponsorship | Projekt DEAL | |
| dc.description.sponsorship | Deutsche Forschungsgemeinschaft | |
| dc.identifier.issn | 1432-1467 | |
| dc.identifier.issn | 0938-8974 | |
| dc.identifier.other | 1940898455 | |
| dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-173930 | de |
| dc.identifier.uri | https://elib.uni-stuttgart.de/handle/11682/17393 | |
| dc.identifier.uri | https://doi.org/10.18419/opus-17374 | |
| dc.language.iso | en | |
| dc.relation.uri | doi:10.1007/s00332-025-10195-y | |
| dc.rights | CC BY | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.ddc | 510 | |
| dc.title | A linear Schrödinger approximation for the KdV equation via IST beyond the natural NLS time scale | en |
| dc.type | article | |
| dc.type.version | publishedVersion | |
| ubs.fakultaet | Mathematik und Physik | |
| ubs.institut | Institut für Analysis, Dynamik und Modellierung | |
| ubs.publikation.seiten | 24 | |
| ubs.publikation.source | Journal of nonlinear science 35 (2025), No. 103 | |
| ubs.publikation.typ | Zeitschriftenartikel |