On the Reduction Process of Nucci-Reduce Algorithm for Computing Nonlocal Symmetries of Dynamical Systems:A case study of the Kepler and Kepler-related problems

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dc.creatorArunaye, Festus Irimisose
dc.date2007-09-12
dc.date2008-06-17
dc.date.accessioned2026-07-07T09:44:36Z
dc.date.available2026-07-07T09:44:36Z
dc.descriptionThe snags in Nucci(1996)REDUCE algorithm are the intrinsic computational efforts and the ability to recognize the ignorable variable(s) during the reduction process of the algorithm. An inappropriate choice of the ignorable variable(s)may lead to an infinite loop. We construct an isomorphic transformation which ameliorates these problems, and with which a simple, definite steps of algebraic process, produced equivalent system of equations to that of Nucci that are easily solved by Lie point symmetry algorithm.
dc.description17 pages. Final review of paper presented at the Seventh International conference "Symmetry in Nonlinear Mathematical Physics", Keiv-Ukraine, June, 2007. 16 pages,final correction on this paper after first loading, for "Transactions of the American Mathematical Society" to take note
dc.identifierhttps://arxiv.org/abs/0709.1936
dc.identifierhttp://arxiv.org/abs/0709.1936
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162935
dc.subjectDynamical Systems
dc.subject14A30
dc.titleOn the Reduction Process of Nucci-Reduce Algorithm for Computing Nonlocal Symmetries of Dynamical Systems:A case study of the Kepler and Kepler-related problems
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