Symbolic computation of recursion operators for nonlinear differential-difference equations

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dc.contributor.authorGöktaş, Ünal
dc.contributor.authorHereman, Willy A.
dc.date.accessioned2025-10-24T18:06:44Z
dc.date.available2025-10-24T18:06:44Z
dc.date.issued2011
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractAn algorithm for the symbolic computation of recursion operators for systems of nonlinear differential-difference equations (DDEs) is presented. Recursion operators allow one to generate an infinite sequence of generalized symmetries. The existence of a recursion operator therefore guarantees the complete integrability of the DDE. The algorithm is based in part on the concept of dilation invariance and uses our earlier algorithms for the symbolic computation of conservation laws and generalized symmetries. The algorithm has been applied to a number of well-known DDEs, including the Kacvan Moerbeke (Volterra), Toda, and Ablowitz-Ladik lattices, for which recursion operators are shown. The algorithm has been implemented in Mathematica, a leading computer algebra system. The package DDE Recursion Operator.m is briefly discussed. © Association for Scientific Research. © 2020 Elsevier B.V., All rights reserved.
dc.identifier.doi10.3390/mca16010001
dc.identifier.endpage12
dc.identifier.issn2297-8747
dc.identifier.issn1300-686X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-79251470439
dc.identifier.scopusqualityN/A
dc.identifier.startpage1
dc.identifier.trdizinid119252
dc.identifier.urihttps://doi.rog/10.3390/mca16010001
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/119252
dc.identifier.urihttps://hdl.handle.net/20.500.12899/3182
dc.identifier.volume16
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAssociation for Scientific Research membranes@mdpi.com
dc.relation.ispartofMathematical and Computational Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzScopus_20251023
dc.subjectConservation law
dc.subjectGeneralized symmetry
dc.subjectNonlinear differential-difference equation
dc.subjectRecursion operator
dc.titleSymbolic computation of recursion operators for nonlinear differential-difference equations
dc.typeArticle

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