English

The negative symmetry classification problem

Exactly Solvable and Integrable Systems 2025-05-09 v1

Abstract

A negative symmetry is a nonlocal symmetry of special type. In this paper, we introduce a method for constructing negative symmetries from consistent triplets of differential and differential-difference equations. Moreover, we study the relation between 3D consistent equations in the discrete case and the continuous case.

Keywords

Cite

@article{arxiv.2505.05096,
  title  = {The negative symmetry classification problem},
  author = {M. P. Kolesnikov},
  journal= {arXiv preprint arXiv:2505.05096},
  year   = {2025}
}

Comments

16 pages

R2 v1 2026-06-28T23:25:33.850Z