On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants

• Дата: 2011
• Автор: Mokhov, O.I.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2011
• Назва видання: Symmetry, Integrability and Geometry: Methods and Applications
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/147398
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine

The paper is devoted to complete proofs of theorems on consistency on cubic lattices for 3×3 determinants. The discrete nonlinear equations on Z² defined by the condition that the determinants of all 3×3 matrices of values of the scalar field at the points of the lattice Z² that form elementary 3×3...