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A non-commutative discrete first Painlev\'e hierarchy: the Lax pair approach

nlin.SI · 2026-05-28 · unverdicted · novelty 6.0

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

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  • A non-commutative discrete first Painlev\'e hierarchy: the Lax pair approach nlin.SI · 2026-05-28 · unverdicted · none · ref 5

    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