Tongas, A., Tsoubelis, D., Xenitidis, Pavlos (2007) Affine linear and D4 symmetric lattice equations: symmetry analysis and reductions. Journal of Physics A: Mathematical and Theoretical, 40 (44). pp. 13353-13384. ISSN 1751-8113. (doi:10.1088/1751-8113/40/44/015) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:50072)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://doi.org/10.1088/1751-8113/40/44/015 |
Abstract
We consider lattice equations on Z2 which are autonomous, affine linear and possess the symmetries of the square. Some basic properties of equations of this type are derived, as well as a sufficient linearization condition and a conservation law. A systematic analysis of the Lie point and the generalized three- and five-point symmetries is presented. It leads to the generic form of the symmetry generators of all the equations in this class, which satisfy a certain non-degeneracy condition. Finally, symmetry reductions of certain lattice equations to discrete analogs of the Painlevé equations are considered.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1088/1751-8113/40/44/015 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Pavlos Xenitidis |
| Date Deposited: | 07 Aug 2015 15:18 UTC |
| Last Modified: | 16 Nov 2021 10:20 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/50072 (The current URI for this page, for reference purposes) |
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):
Altmetric
Altmetric
