On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations

2011/01/31 by Andrei K. Svinin · 1 citation
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1088/1751-8113/44/16/165206

published as J. Phys. A: Math. Theor. V.44 (2011) Art. No.165206 · 18 pages

arxiv created 2011/03/17 · arxiv updated 2014/06/05

Abstract

We introduce two classes of homogeneous polynomials and show their role in constructing of integrable hierarchies for some integrable lattices.

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• A non-commutative discrete first Painlevé hierarchy: the Lax pair approach

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