Continuous nonpoint symmetries of ordinary difference equations. (English) Zbl 1108.39001
The authors study continuous nonpoint symmetries of ordinary difference equations of orders two and higher. They also present a partial classification of second and fourth order difference equations that admit polynomial and rational nonpoint symmetries, and construct integrals of motions for each of the considered equations.
Reviewer: Raghib Abu-Saris (Sharjah)
MSC:
| 39A05 | General theory of difference equations |
| 37J15 | Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010) |
| 34C14 | Symmetries, invariants of ordinary differential equations |
| 70G65 | Symmetries, Lie group and Lie algebra methods for problems in mechanics |
Keywords:
continuous nonpoint symmetries; difference equations; integrability; polynomial and rational nonpoint symmetries; integrals of motionsReferences:
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