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Determining discrete symmetries of differential equations

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Il Nuovo Cimento B (1971-1996)

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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Authors and Affiliations

  1. Department of Mathematical Sciences, Loughborough University of Technology, LE11 3TU, Loughborough, UK

    G. Gaeta

  2. Departamento de Física Teórica, Facultad de Físicas, Universidad Complutense, E-28040, Madrid, Spain

    M. A. Rodríguez

Authors
  1. G. Gaeta
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  2. M. A. Rodríguez
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Correspondence to G. Gaeta.

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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

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