On some class of partial difference equations admitting a zero-curvature representation
arXiv:1409.6784
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.
11 pages. arXiv admin note: substantial text overlap with arXiv:1304.7310