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Special polynomials associated with the K2 hierarchy

Nikolai A. Kudryashov
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Abstract

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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Nikolai A. Kudryashov. 2007-01-08. Special polynomials associated with the K2 hierarchy. https://doi.org/10.1016/j.physleta.2007.10.087

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