Lie point symmetries of differential--difference equations

Details Lie point symmetries of differential--difference equations Lie point symmetries of differential--difference equations

2010-04-29

arxiv.org/abs/1004.5311v1

Physics

Mathematical Physics

17 pages, 1 figure

Scientific paper

We present an algorithm for determining the Lie point symmetries of differential equations on fixed non transforming lattices, i.e. equations involving both continuous and discrete independent variables. The symmetries of a specific integrable discretization of the Krichever-Novikov equation, the Toda lattice and Toda field theory are presented as examples of the general method.

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