Abstract
The construction and role of symmetries for difference equations have been established, relatively, recently. In this paper, a symmetry analysis and reductions of the discrete Painlevé equations are considered. We assume that the characteristics of the ‘vector fields’ have a particular dependence since the general form lead to cumbersome calculations. Where possible, these symmetries are used to construct exact solutions in some cases.
| Original language | English |
|---|---|
| Pages (from-to) | 1378-1388 |
| Number of pages | 11 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 22 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1 Sep 2016 |
Bibliographical note
Publisher Copyright:© 2016 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Difference equation
- conservation laws
- reduction
- symmetry
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics
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