Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2007-01-17
Nonlinear Sciences
Exactly Solvable and Integrable Systems
8 pages
Scientific paper
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.
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