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Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis

Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis

Five equivalence classes had been found for systems of two second‐order ordinary differential equations, transformable to linear equations (linearizable systems) by a change of variables. An “optimal (or simplest) canonical form” of linear systems had been established to obtain the symmetry structure, namely, with 5‐, 6‐, 7‐, 8‐, and 15‐dimensional …