Remarks on rational solutions for the Korteveg - de Vries hierarchy

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.

arXiv comment8 pages

References in corpus (1)

• The Yablonskii - Vorob'ev polynomials for the second Painlev'e hierarchy

Cited by in corpus (1)

• Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions