dorsal/arxiv
View SchemaDeterminant Structure of the Rational Solutions for the Painlev\'e II Equation
| Authors | Kenji Kajiwara, Yasuhiro Ohta |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9607002 |
| URL | https://arxiv.org/abs/solv-int/9607002 |
| DOI | 10.1063/1.531648 |
Abstract
Two types of determinant representations of the rational solutions for the Painlev\'e II equation are discussed by using the bilinear formalism. One of them is a representation by the Devisme polynomials, and another one is a Hankel determinant representation. They are derived from the determinant solutions of the KP hierarchy and Toda lattice, respectively.
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"abstract": "Two types of determinant representations of the rational solutions for the\nPainlev\\\u0027e II equation are discussed by using the bilinear formalism. One of\nthem is a representation by the Devisme polynomials, and another one is a\nHankel determinant representation. They are derived from the determinant\nsolutions of the KP hierarchy and Toda lattice, respectively.",
"arxiv_id": "solv-int/9607002",
"authors": [
"Kenji Kajiwara",
"Yasuhiro Ohta"
],
"categories": [
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],
"doi": "10.1063/1.531648",
"title": "Determinant Structure of the Rational Solutions for the Painlev\\\u0027e II Equation",
"url": "https://arxiv.org/abs/solv-int/9607002"
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