Special polynomials associated with the K2 hierarchy

Details Special polynomials associated with the K2 hierarchy Special polynomials associated with the K2 hierarchy

2007-01-08

arxiv.org/abs/nlin/0701013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages, 5 figures

Scientific paper

10.1016/j.physleta.2007.10.087

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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