Remarks on rational solutions for the Korteveg - de Vries hierarchy
Exactly Solvable and Integrable Systems
2007-05-23 v1
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.
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Cite
@article{arxiv.nlin/0701034,
title = {Remarks on rational solutions for the Korteveg - de Vries hierarchy},
author = {Nikolai A. Kudryashov},
journal= {arXiv preprint arXiv:nlin/0701034},
year = {2007}
}
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8 pages