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Nonlocal symmetries and reductions for some ordinary differential equations

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Abstract

We derive nonlocal symmetries for ordinary differential equations (ODEs). These symmetries are derived by embedding the ODE in an auxiliary system. Using these symmetries, we find that the order of the ODE can be reduced even if it does not admit point symmetries.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Cádiz, Cádiz, Spain

    M. L. Gandarias

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  1. M. L. Gandarias
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Correspondence to M. L. Gandarias.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 159, No. 3, pp. 428–437, June, 2009.

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Gandarias, M.L. Nonlocal symmetries and reductions for some ordinary differential equations. Theor Math Phys 159, 779–786 (2009). https://doi.org/10.1007/s11232-009-0066-7

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  • DOI: https://doi.org/10.1007/s11232-009-0066-7

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