Summary
We propose a method to determine a special class of discrete symmetries—which we call quantized—of differential equations, based on the solution of a linear functional equation. By the same method, we can determine differential equations possessing a given quantized symmetry by solving a linear (standard,i.e. non-functional) PDE. Geometrical motivation and interpretation are also given, together with simple but physically significant examples.
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Gaeta, G., Rodríguez, M.A. Determining discrete symmetries of differential equations. Nuov Cim B 111, 879–891 (1996). https://doi.org/10.1007/BF02749018
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DOI: https://doi.org/10.1007/BF02749018