dorsal/arxiv
View SchemaDeterminant Structure of the Rational Solutions for the Painlev\'e IV Equation
| Authors | Kenji Kajiwara, Yasuhiro Ohta |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9709011 |
| URL | https://arxiv.org/abs/solv-int/9709011 |
| DOI | 10.1088/0305-4470/31/10/017 |
Abstract
Rational solutions for the Painlev\'e IV equation are investigated by Hirota bilinear formalism. It is shown that the solutions in one hierarchy are expressed by 3-reduced Schur functions, and those in another two hierarchies by Casorati determinant of the Hermite polynomials, or by special case of the Schur polynomials.
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"abstract": "Rational solutions for the Painlev\\\u0027e IV equation are investigated by Hirota\nbilinear formalism. It is shown that the solutions in one hierarchy are\nexpressed by 3-reduced Schur functions, and those in another two hierarchies by\nCasorati determinant of the Hermite polynomials, or by special case of the\nSchur polynomials.",
"arxiv_id": "solv-int/9709011",
"authors": [
"Kenji Kajiwara",
"Yasuhiro Ohta"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0305-4470/31/10/017",
"title": "Determinant Structure of the Rational Solutions for the Painlev\\\u0027e IV Equation",
"url": "https://arxiv.org/abs/solv-int/9709011"
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