Remarks on rational solutions for the Korteveg - de Vries hierarchy

Details Remarks on rational solutions for the Korteveg - de Vries hierarchy Remarks on rational solutions for the Korteveg - de Vries hierarchy

2007-01-17

arxiv.org/abs/nlin/0701034v1

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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