English

Linear quadrilateral lattice equations and multidimensional consistency

Exactly Solvable and Integrable Systems 2015-05-13 v1

Abstract

It is shown that every scalar linear quadrilateral lattice equation lies within a family of similar equations, members of which are compatible between one another on a higher dimensional lattice. There turn out to be two such families, a natural parametrisation is given for each.

Keywords

Cite

@article{arxiv.0903.4428,
  title  = {Linear quadrilateral lattice equations and multidimensional consistency},
  author = {James Atkinson},
  journal= {arXiv preprint arXiv:0903.4428},
  year   = {2015}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-21T12:44:32.043Z