Oleg I. Mokhov

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The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3 × 3 determinants. The discrete nonlinear equations on Z 2 defined by the condition that the determinants of all 3 × 3 matrices of values of the scalar field at the points of the lattice Z 2 that form elementary 3 × 3 squares vanish are considered; some explicit(More)
The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3 × 3 determinants. The discrete nonlinear equations on Z 2 defined by the condition that the determinants of all 3×3 matrices of values of the scalar field at the points of the lattice Z 2 that form elementary 3 × 3 squares vanish are considered; some explicit concrete(More)
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