Sasa-Satsuma hierarchy of integrable evolution equations

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2487
dc.contributor.authorBandelow, Uwe
dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAmiranashvili, Shalva
dc.contributor.authorPickartz, Sabrina
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2018-04-16T09:57:58Z
dc.date.available2019-06-28T08:17:10Z
dc.date.issued2018
dc.description.abstractWe present the infinite hierarchy of Sasa-Satsuma evolution equations. The corresponding Lax pairs are given, thus proving its integrability. The lowest order member of this hierarchy is the nonlinear Schrödinger equation, while the next one is the Sasa-Satsuma equation that includes third-order terms. Up to sixthorder terms of the hierarchy are given in explicit form, while the provided recurrence relation allows one to explicitly write all higher-order terms. The whole hierarchy can be combined into a single general equation. Each term in this equation contains a real independent coefficient that provides the possibility of adapting the equation to practical needs. A few examples of exact solutions of this general equation with an infinite number of terms are also given explicitly.
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/3135
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3112
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2487
dc.relation.issn0946-8633eng
dc.rights.licenseDieses 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.rights.licenseThis 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.subject.ddc510
dc.subject.otherSasa–Satsuma equationeng
dc.subject.otherLax paireng
dc.subject.otherintegrable hierarchyeng
dc.titleSasa-Satsuma hierarchy of integrable evolution equations
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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