English

Classification of discrete equations linearizable by point transformation on a square lattice

Exactly Solvable and Integrable Systems 2013-01-14 v1 Mathematical Physics Functional Analysis math.MP

Abstract

We provide a complete set of linearizability conditions for nonlinear partial difference equations de- fined on four points and, using them, we classify all linearizable multilinear partial difference equations defined on four points up to a Mobious transformation

Keywords

Cite

@article{arxiv.1301.2426,
  title  = {Classification of discrete equations linearizable by point transformation on a square lattice},
  author = {Christian Scimiterna and Decio Levi},
  journal= {arXiv preprint arXiv:1301.2426},
  year   = {2013}
}