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arXiv · 1308.5018

On some classes of discrete polynomials and ordinary difference equations

Andrei K. Svinin
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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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Andrei K. Svinin. 2014-03-24. On some classes of discrete polynomials and ordinary difference equations. https://doi.org/10.1088/1751-8113%2F47%2F15%2F155201

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