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