English

On existence of an x-integral for a semi-discrete chain of hyperbolic type

Exactly Solvable and Integrable Systems 2016-04-13 v1

Abstract

A class of semi-discrete chains of the form t1x=f(x,t,t1,tx)t_{1x} = f(x, t, t_1, t_x) is considered. For the given chains easily verifiable conditions for existence of x-integral of minimal order 4 are obtained.

Keywords

Cite

@article{arxiv.1604.00220,
  title  = {On existence of an x-integral for a semi-discrete chain of hyperbolic type},
  author = {Kostyantyn Zheltukhin and Natalya Zheltukhina},
  journal= {arXiv preprint arXiv:1604.00220},
  year   = {2016}
}