A. N. Mironov, L. B. Mironova, “Laplace invariants for fourth-order equation with two independent variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, Number 10,Pages <nobr>27

This article is cited in 6 papers

Laplace invariants for fourth-order equation with two independent variables

A. N. Mironov, L. B. Mironova

Chair of Mathematical Analysis, Algebra and Geometry, Elabuga Institute of Kazan (Volga Region) Federal University, 89 Kazanskaya str., Elabuga, 423600 Russia

Abstract: We construct the Laplace invariants for fourth-order equation with leading partial derivative. We obtain classes of equations admitting four-dimensional Lie algebras.

Keywords: equations with leading partial derivative, Laplace invariants, Lie algebra.

UDC: 517.956

Received: 09.04.2013