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 non-commutative Volterra lattice, and gives continuous limits for first three membe
On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations
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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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nlin.SI 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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 non-commutative Volterra lattice, and gives continuous limits for first three membe