Special polynomials associated with the K2 hierarchy
arXiv:nlin/0701013 · doi:10.1016/j.physleta.2007.10.087
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.
24 pages, 5 figures