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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2016 Volume 99, Issue 1, Pages 89–96 (Mi mzm10613)

This article is cited in 6 papers

On Laplace Invariants for Equations with Dominating Third-Order Partial Derivative and Two Independent Variables

A. N. Mironov, L. B. Mironova

Elabuga Branch of Kazan (Volga Region) Federal University

Abstract: Laplace invariants are constructed and the constitutive equations are written in terms of them. Classes of equations which admit four-dimensional Lie algebras are distinguished.

Keywords: Laplace invariant, Lie algebra, constitutive equations.

UDC: 517.956

Received: 28.11.2014

DOI: 10.4213/mzm10613


 English version:
Mathematical Notes, 2016, 99:1, 110–115

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© Steklov Math. Inst. of RAS, 2024