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λ-Symmetries for the Reduction of Continuous and Discrete Equations

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Abstract

In this work we present results on the construction of λ-symmetries for ordinary differential equation using ideas derived from the notion of nonlocal symmetries and Jacobi last multiplier. We then apply the results obtained to the case of ordinary difference equations.

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Acknowledgements

D.L. has been partly supported by the Italian Ministry of Education and Research, 2010 PRIN “Continuous and discrete nonlinear integrable evolutions: from water waves to symplectic maps”. M.A.R. was supported by the Spanish Ministry of Science and Innovation under grant No. FIS2011-22566, and by the Universidad Complutense and Banco Santander under grant No. GR58/08-910556.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and INFN Sezione di Roma Tre, Via della Vasca Navale 84, 00146, Roma, Italy

    D. Levi

  2. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia and INFN Sezione di Perugia, 06123, Perugia, Italy

    M. C. Nucci

  3. Departamento de Física Teórica II, Universidad Complutense, 28040, Madrid, Spain

    M. A. Rodríguez

Authors
  1. D. Levi
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  2. M. C. Nucci
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  3. M. A. Rodríguez
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Correspondence to D. Levi.

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Levi, D., Nucci, M.C. & Rodríguez, M.A. λ-Symmetries for the Reduction of Continuous and Discrete Equations. Acta Appl Math 122, 311–321 (2012). https://doi.org/10.1007/s10440-012-9745-8

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  • DOI: https://doi.org/10.1007/s10440-012-9745-8

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