On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations
classification
🌊 nlin.SI
keywords
integrablehierarchieshomogeneouspolynomialssomeclassclassesconstructing
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We introduce two classes of homogeneous polynomials and show their role in constructing of integrable hierarchies for some integrable lattices.
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Cited by 1 Pith paper
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A non-commutative discrete first Painlev\'e hierarchy: the Lax pair approach
Constructs non-commutative discrete first Painlevé hierarchy d-PI_m^nc via non-commutative isomonodromic problem, expresses both commutative and non-commutative versions via Svinin polynomials, derives reduction from ...
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