Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential Difference Equations

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dc.authoridHereman, Willy/0000-0001-7997-6601;
dc.contributor.authorGoktas, Unal
dc.contributor.authorHereman, Willy
dc.date.accessioned2025-10-24T18:08:47Z
dc.date.available2025-10-24T18:08:47Z
dc.date.issued2012
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description3rd Conference on Nonlinear Science and Complexity (NSC 2010) -- JUL 27-31, 2010 -- Cankaya Univ, Ankara, TURKEY
dc.description.abstractAlgorithms for the symbolic computation of polynomial conservation laws, generalized symmetries, and recursion operators for systems of nonlinear differential difference equations (DDEs) are presented. The algorithms can be used to test the complete integrability of nonlinear DDEs. The ubiquitous Toda lattice illustrates the steps of the algorithms, which have been implemented in Mathematica. The codes INVARIANTSSYMMETRIES.M and DDERECURSIONOPERATOR.M can aid researchers interested in properties of nonlinear DDEs.
dc.description.sponsorshipNational Science Foundation (U.S.A.) [CCF-0830783]
dc.description.sponsorshipThis material is based upon work supported by the National Science Foundation (U.S.A.) under Grant No. CCF-0830783.
dc.description.sponsorshipCankaya Univ,Tubitak
dc.identifier.doi10.1007/978-1-4614-0454-5_7
dc.identifier.endpage168
dc.identifier.isbn978-1-4614-0453-8
dc.identifier.issn#DEĞER!
dc.identifier.startpage153
dc.identifier.urihttps://doi.org/10.1007/978-1-4614-0454-5_7
dc.identifier.urihttps://hdl.handle.net/20.500.12899/3289
dc.identifier.wosWOS:000398245600007
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSpringer-Verlag Berlin
dc.relation.ispartofDynamical Systems And Methods
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20251023
dc.subjectMarciniak Lattice Equations; Evolution-Equations; Soliton-Equations; Integrability; Systems
dc.titleSymbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential Difference Equations
dc.typeConference Object

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