The method of Mn-extension: the KdV equation

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buir.contributor.authorGürses , Metin
buir.contributor.orcidGürses, Metin|0000-0002-3439-3952
dc.citation.epage130217-4
dc.citation.spage130217-1
dc.citation.volumeNumber533
dc.contributor.authorGürses, Metin
dc.contributor.authorPekcan, Aslı
dc.date.accessioned2025-02-17T12:35:33Z
dc.date.available2025-02-17T12:35:33Z
dc.date.issued2025-01-07
dc.departmentDepartment of Mathematics
dc.description.abstractIn this work we generalize M2-extension that has been introduced recently. For illustration we use the KdV equation. We present five different M3-extensions of the KdV equation and their recursion operators. We give a compact form of Mn-extension of the KdV equation and recursion operator of the coupled KdV system. The method of Mn-extension can be applied to any integrable scalar equation to obtain integrable multi-field system of equations. We also present unshifted and shifted nonlocal reductions of an example of M3-extension of KdV.
dc.description.provenanceSubmitted by Serdar Sevin (serdar.sevin@bilkent.edu.tr) on 2025-02-17T12:35:33Z No. of bitstreams: 1 The_method_of_[formula omitted]_extension_The_KdV_equation.pdf: 423989 bytes, checksum: 5f2cd47f14d7144f045520b95144348a (MD5)en
dc.description.provenanceMade available in DSpace on 2025-02-17T12:35:33Z (GMT). No. of bitstreams: 1 The_method_of_[formula omitted]_extension_The_KdV_equation.pdf: 423989 bytes, checksum: 5f2cd47f14d7144f045520b95144348a (MD5) Previous issue date: 2025-01-07en
dc.identifier.doi10.1016/j.physleta.2024.130217
dc.identifier.issn03759601
dc.identifier.urihttps://hdl.handle.net/11693/116324
dc.language.isoEnglish
dc.publisherElsevier BV
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.physleta.2024.130217
dc.rightsCC BY-NC-ND 4.0 DEED (Attribution-NonCommercial-NoDerivatives 4.0 International)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.en
dc.source.titlePhysics Letters. Section A: General, Atomic and Solid State Physics
dc.subjectCoupled systems
dc.subjectIntegrability
dc.subjectMn-extension
dc.subjectNonlocal reductions
dc.subjectRecursion operator
dc.titleThe method of Mn-extension: the KdV equation
dc.typeArticle

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