Lie point symmetries of difference equations and lattices

Details Lie point symmetries of difference equations and lattices Lie point symmetries of difference equations and lattices

2007-09-19

arxiv.org/abs/0709.3112v1

J. Phys. A: Math. Gen., 33, No 47 (2000), 8507-8523

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/33/47/313

A method is presented for finding the Lie point symmetry transformations
acting simultaneously on difference equations and lattices, while leaving the
solution set of the corresponding difference scheme invariant. The method is
applied to several examples. The found symmetry groups are used to obtain
particular solutions of differential-difference equations.

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