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Title: Lie - Backlund symmetries of homogeneous system of bi-dimensional equations
Author: Senashov, S.I.
Yakhno, A.
Yakhno, L.
Issue Date: 2007
Abstract: The framework of generalized (Lie-Backlund) symmetries is used to analyze a general homogeneous hyperbolic system of bi-dimensional quasilinear equations. The symmetries of the first order are constructed and the theorem of the existence of the generalized symmetries is formulated. As example, we consider the spatially one-dimensional time dependent system of equations, which describes the gravity-driven free surface flow of granular avalanches.
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