On the reduction process of the Nucci-REDUCE algorithm for computing nonlocal symmetries of dynamical systems: a case study of the Kepler and Kepler-related problems

Abstract:
The 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.

Joint work with Halvard White (The University of the West Indies, Mona, Jamaica).