Reduction of quad-equations consistent around a cuboctahedron I: Additive case
| Autor: | Nobutaka Nakazono, Nalini Joshi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Reduction (complexity)
Physics Cuboctahedron Nonlinear Sciences - Exactly Solvable and Integrable Systems Condensed matter physics General Engineering Lattice (group) FOS: Physical sciences Mathematical Physics (math-ph) Exactly Solvable and Integrable Systems (nlin.SI) Partial difference equations Mathematical Physics |
| Zdroj: | Proceedings of the American Mathematical Society, Series B. 8:320-335 |
| ISSN: | 2330-1511 |
| Popis: | In this paper, we consider a reduction of a new system of partial difference equations, which was obtained in our previous paper (Joshi and Nakazono, arXiv:1906.06650) and shown to be consistent around a cuboctahedron. We show that this system reduces to $A_2^{(1)\ast}$-type discrete Painlev\'e equations by considering a periodic reduction of a three-dimensional lattice constructed from overlapping cuboctahedra. Comment: arXiv admin note: text overlap with arXiv:1906.06650 |
| Databáze: | OpenAIRE |
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