English

On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Exactly Solvable and Integrable Systems 2010-12-14 v2

Abstract

Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation.

Keywords

Cite

@article{arxiv.1010.0361,
  title  = {On Non-Point Invertible Transformations of Difference and Differential-Difference Equations},
  author = {Sergey Ya. Startsev},
  journal= {arXiv preprint arXiv:1010.0361},
  year   = {2010}
}
R2 v1 2026-06-21T16:22:54.164Z