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arxiv: nlin/0701034 · v1 · submitted 2007-01-17 · 🌊 nlin.SI

Remarks on rational solutions for the Korteveg - de Vries hierarchy

classification 🌊 nlin.SI
keywords hierarchyrationalsolutionskortevegpolynomialsvriesassociatedspecial
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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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