Lie symmetries of multidimensional difference equations

作者: P Winternitz , D Levi , S Tremblay

DOI: 10.1088/0305-4470/34/44/311

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摘要: A method is presented for calculating the Lie point symmetries of a scalar difference equation on two-dimensional lattice. The symmetry transformations act equations and They take solutions into can be used to perform reduction. generalizes one in recent publication case ordinary equations. In turn, it easily generalized systems involving an arbitrary number dependent independent variables.

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