Tetrahedron maps and symmetries of three dimensional integrable discrete equations
| Autor: | Anastasios Tongas, Vassilios G. Papageorgiou, Maciej Nieszporski, Pavlos Kassotakis |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Integrable system Nonlinear Sciences - Exactly Solvable and Integrable Systems Generalization 010102 general mathematics FOS: Physical sciences Statistical and Nonlinear Physics Context (language use) Mathematical Physics (math-ph) Symmetry group 01 natural sciences Lattice (module) Octahedron 0103 physical sciences Homogeneous space Tetrahedron Mathematics::Metric Geometry 010307 mathematical physics 0101 mathematics Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics Mathematics |
| Popis: | A relationship between the tetrahedron equation for maps and the consistency property of integrable discrete equations on $\mathbb{Z}^3$ is investigated. Our approach is a generalization of a method developed in the context of Yang-Baxter maps, based on the invariants of symmetry groups of the lattice equations. The method is demonstrated by a case-by-case analysis of the octahedron type lattice equations classified recently, leading to some new examples of tetrahedron maps and integrable coupled lattice equations. 22 pages |
| Databáze: | OpenAIRE |
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