This article is cited in 2 papers

Two-component hyperbolic systems of equations of exponential type with the finite-dimensional characteristic Lie algebra

O. S. Kostrigina

Ufa State Aviation Technical University

Abstract: The characteristic Lie algebras of linearization of two-component hyperbolic equations with exponential right-hand side are considered. A full list of systems of equations, for which the dimension of Lie algebra does not exceed 9 is found.

Keywords: integral of system, Darboux integrability, characteristic Lie algebra.

UDC: 517.9

Received: 24.08.2009

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