On some classes of discrete polynomials and ordinary difference equations

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.

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References in corpus (2)

• The Extended Bigraded Toda hierarchy
• Integrability of reductions of the discrete KdV and potential KdV equations

Cited by in corpus (4)

• Some integrable maps and their Hirota bilinear forms
• Integrable and superintegrable systems associated with multi-sums of products
• Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
• On integrals for some class of ordinary difference equations admitting a Lax pair representation