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Conditional and Hidden Infinite-Dimensional Symmetries of Wave Equations

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Ukrainian Mathematical Journal Aims and scope

We consider conditional and hidden symmetries of multidimensional wave equations generated by additional conditions. An additional condition corresponding to the dilation operator generates an infinite-dimensional symmetry for the wave equation.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    I. Yehorchenko

  2. P. Mohyla Black Sea National University, Mykolaiv, Ukraine

    A. Vorobyova

Authors
  1. I. Yehorchenko
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  2. A. Vorobyova
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Correspondence to I. Yehorchenko.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 3, pp. 335–341, March, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i3.7035.

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Yehorchenko, I., Vorobyova, A. Conditional and Hidden Infinite-Dimensional Symmetries of Wave Equations. Ukr Math J 74, 378–384 (2022). https://doi.org/10.1007/s11253-022-02069-3

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  • DOI: https://doi.org/10.1007/s11253-022-02069-3

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