Generalized integrable evolution equations with an infinite number of free parameters
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2529 | |
| dc.contributor.author | Akhmediev, Nail | |
| dc.contributor.author | Ankiewicz, Adrian | |
| dc.contributor.author | Amiranashvili, Shalva | |
| dc.contributor.author | Bandelow, Uwe | |
| dc.date.accessioned | 2018-10-11T01:46:28Z | |
| dc.date.available | 2019-06-28T08:10:00Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | Evolution equations such as the nonlinear Schrödinger equation (NLSE) can be extended to include an infinite number of free parameters. The extensions are not unique. We give two examples that contain the NLSE as the lowest-order PDE of each set. Such representations provide the advantage of modelling a larger variety of physical problems due to the presence of an infinite number of higher-order terms in this equation with an infinite number of arbitrary parameters. An example of a rogue wave solution for one of these cases is presented, demonstrating the power of the technique. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2401 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2695 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2529 | |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Nonlinear Schrödinger equation | eng |
| dc.subject.other | Sasa-Satsuma equation | eng |
| dc.subject.other | Hirota equation | eng |
| dc.subject.other | hierarchy | eng |
| dc.subject.other | integrability | eng |
| dc.title | Generalized integrable evolution equations with an infinite number of free parameters | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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