English

On consistency of determinants on cubic lattices

Exactly Solvable and Integrable Systems 2008-09-16 v1 Discrete Mathematics Combinatorics

Abstract

We propose a modified condition of consistency on cubic lattices for some special classes of two-dimensional discrete equations and prove that the discrete nonlinear equations defined by determinants of matrices of orders N > 2 are consistent on cubic lattices in this sense.

Keywords

Cite

@article{arxiv.0809.2032,
  title  = {On consistency of determinants on cubic lattices},
  author = {O. I. Mokhov},
  journal= {arXiv preprint arXiv:0809.2032},
  year   = {2008}
}

Comments

3 pages

R2 v1 2026-06-21T11:19:20.709Z