English

On solutions for some class of integrable difference equations

Exactly Solvable and Integrable Systems 2022-01-25 v2

Abstract

In this paper we show that an arbitrary solution of one ordinary difference equation is also a solution for a hierarchy of integrable difference equations. We also provide an example of such a solution that is related to sequence generated by a second-order linear recursion with 2-periodic coefficients.

Keywords

Cite

@article{arxiv.2106.00539,
  title  = {On solutions for some class of integrable difference equations},
  author = {Andrei K. Svinin},
  journal= {arXiv preprint arXiv:2106.00539},
  year   = {2022}
}

Comments

16 pages

R2 v1 2026-06-24T02:42:46.591Z