On some class of partial difference equations admitting a zero-curvature representation
Exactly Solvable and Integrable Systems
2014-09-25 v1 Mathematical Physics
math.MP
Abstract
We show some classes of higher order partial difference equations admitting a zero-curvature representation and generalizing lattice potential KdV equation. We construct integrable hierarchies which, as we suppose, yield generalized symmetries for obtained class of partial difference equations. As a byproduct we also derive non-evolutionary differential-difference equations with their Lax pair representation which may be of potential interest.
Cite
@article{arxiv.1409.6784,
title = {On some class of partial difference equations admitting a zero-curvature representation},
author = {Andrei K. Svinin},
journal= {arXiv preprint arXiv:1409.6784},
year = {2014}
}
Comments
11 pages. arXiv admin note: substantial text overlap with arXiv:1304.7310