Special polynomials associated with the K2 hierarchy
classification
🌊 nlin.SI
keywords
polynomialsspecialassociatedhierarchydifferentialhierarchiesallowanalogue
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New special polynomials associated with the rational solutions of analogue to the Painleve hierarchies are introduced. The Hirota relations for these special polynomials are found. Differential - difference hierarchies for finding special polynomials are presented. These formulae allow us to search the special polynomials associated with the hierarchy studied. The ordinary differential hierarchy for the Yablonskii - Vorob'ev polynomials is given.
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