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Laplace invariants for a fourth-order equation with two independent variables

Russian Mathematics volume 58, pages 22–28 (2014)Cite this article

Abstract

We construct the Laplace invariants for an equation with the leading partial derivative. We write defining equations in terms of the Laplace invariants. We obtain classes of equations admitting four-dimensional Lie algebras.

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Authors and Affiliations

  1. Elabuga Institute of Kazan (Volga Region) Federal University, ul. Kazanskaya 89, Elabuga, 423600, Russia

    A. N. Mironov & L. B. Mironova

Authors
  1. A. N. Mironov
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  2. L. B. Mironova
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Corresponding author

Correspondence to L. B. Mironova.

Additional information

Original Russian Text © A.N. Mironov, L.B. Mironova, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 10, pp. 27–34.

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Mironov, A.N., Mironova, L.B. Laplace invariants for a fourth-order equation with two independent variables. Russ Math. 58, 22–28 (2014). https://doi.org/10.3103/S1066369X14100041

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  • DOI: https://doi.org/10.3103/S1066369X14100041

Keywords

  • equations with leading partial derivative
  • Laplace invariants
  • Lie algebra