On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants
|
|
| Creator |
Mokhov, O.I.
|
|
| Description |
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 squares vanish are considered; some explicit concrete conditions of general position on initial data are formulated; and for arbitrary initial data satisfying these concrete conditions of general position, theorems on consistency on cubic lattices (a consistency ''around a cube'') for the considered discrete nonlinear equations on Z² defined by 3×3 determinants are proved.
|
|
| Date |
2019-02-14T17:29:53Z
2019-02-14T17:29:53Z 2011 |
|
| Type |
Article
|
|
| Identifier |
On Initial Data in the Problem of Consistency on Cubic Lattices for 3×3 Determinants / O.I. Mokhov// Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 14 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 39A05; 52C07; 15A15; 37K10; 11H06 DOI:10.3842/SIGMA.2011.075 http://dspace.nbuv.gov.ua/handle/123456789/147398 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|