Lie discrete symmetries of lattice equations

Details Lie discrete symmetries of lattice equations Lie discrete symmetries of lattice equations

2003-07-07

arxiv.org/abs/math-ph/0307011v1

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/37/5/016

We extend two of the methods previously introduced to find discrete
symmetries of differential equations to the case of difference and
differential-difference equations. As an example of the application of the
methods, we construct the discrete symmetries of the discrete Painlev\'e I
equation and of the Toda lattice equation.

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