Classification of 3D Consistent Quad-Equations
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Publication:3095754
DOI10.1142/S1402925111001647zbMath1252.37068arXiv1009.4007MaRDI QIDQ3095754
Publication date: 3 November 2011
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.4007
integrabilityBäcklund transformationMöbius transformationmultidimensional consistencyquad-graphzero curvature representation
Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)
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Cites Work
- Discrete nonlinear hyperbolic equations. Classification of integrable cases
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Classification of integrable equations on quad-graphs. The consistency approach
- The discrete and continuous Painlevé VI hierarchy and the Garnier systems
- Discrete Differential Geometry
- Asymmetric integrable quad-graph equations
- Non-symmetric discrete Toda systems from quad-graphs
- A new two-dimensional lattice model that is consistent around a cube
