Symmetries and Reduction of Discrete Painleve Equations
classification
🧮 math-ph
math.MP
keywords
symmetriesequationsdiscretepainleveanalysisassumecasescharacteristics
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The construction and role of symmetries for difference equations are now well known. In this paper, the symmetry analysis of the discrete Painleve equations is considered. We assume that the characteristics depend on $n$ and $u_n$ only and we obtain a number of symmetries. These symmetries are used to construct exact solutions in some cases.
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