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Symmetries and Reduction of Discrete Painleve Equations

Mathematical Physics 2015-04-16 v1 math.MP

Abstract

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 nn and unu_n only and we obtain a number of symmetries. These symmetries are used to construct exact solutions in some cases.

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Cite

@article{arxiv.1504.03847,
  title  = {Symmetries and Reduction of Discrete Painleve Equations},
  author = {Mensah Folly-Gbetoula},
  journal= {arXiv preprint arXiv:1504.03847},
  year   = {2015}
}

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13 pages