On some classes of discrete polynomials and ordinary difference equations
Exactly Solvable and Integrable Systems
2014-06-05 v3 Mathematical Physics
math.MP
Abstract
We introduce two classes of discrete polynomials and construct discrete equations admitting a Lax representation in terms of these polynomials. Also we give an approach which allows to construct lattice integrable hierarchies in its explicit form and show some examples.
Cite
@article{arxiv.1308.5018,
title = {On some classes of discrete polynomials and ordinary difference equations},
author = {Andrei K. Svinin},
journal= {arXiv preprint arXiv:1308.5018},
year = {2014}
}
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