Symmetries in the fourth Painleve equation and Okamoto polynomials

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dc.creatorNoumi, Masatoshi
dc.creatorYamada, Yasuhiko
dc.date1997-08-19
dc.date.accessioned2026-07-07T09:17:39Z
dc.date.available2026-07-07T09:17:39Z
dc.descriptionWe propose a new representation of the fourth Painlevé equation in which the $A^{(1)}_2$-symmetries become clearly visible. By means of this representation, we clarify the internal relation between the fourth Painlevé equation and the modified KP hierarchy. We obtain in particular a complete description of the rational solutions of the fourth Painlevé equation in terms of Schur functions. This implies that the so-called Okamoto polynomials, which arise from the $τ$-functions for rational solutions, are in fact expressible by the 3-reduced Schur functions.
dc.description25 pages, amslatex
dc.identifierhttps://arxiv.org/abs/q-alg/9708018
dc.identifierhttp://arxiv.org/abs/q-alg/9708018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153742
dc.subjectQuantum Algebra
dc.titleSymmetries in the fourth Painleve equation and Okamoto polynomials
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