On the solutions of the local Zamolodchikov tetrahedron equation

Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere
Nonlinear Schrödinger type tetrahedron maps
Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition
Functional tetrahedron equation
Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings
Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems
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Yang-Baxter maps and symmetries of integrable equations on quad-graphs
Yang–Baxter maps with first-degree-polynomial 2 × 2 Lax matrices
On some unsolved problems in quantum group theory
Permutation-type solutions to the Yang - Baxter and othern-simplex equations
A noncommutative discrete potential KdV lift
On non-abelian quadrirational Yang–Baxter maps*
Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices
The pentagon relation and incidence geometry
Tetrahedron maps and symmetries of three dimensional integrable discrete equations
Discrete KP Equation and Momentum Mapping of Toda System
Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems
Entwining Yang–Baxter maps related to NLS type equations
Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation
Birational solutions to the set-theoretical 4-simplex equation
Electric network and Hirota type 4-simplex maps

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