Remarks on rational solutions for the Korteveg - de Vries hierarchy
arXiv:nlin/0701034
Abstract
Differential equations for the special polynomials associated with the rational solutions of the second Painleve hierarchy are introduced. It is shown rational solutions of the Korteveg - de Vries hierarchy can be found taking the Yablonskii - Vorob'ev polynomials into account. Special polynomials associated with rational solutions of the Korteveg - de Vries hierarchy are presented.
8 pages