dorsal/arxiv
View SchemaBilinear Structure and Exact Solutions of the Discrete Painlev\'e I Equation
| Authors | Y. Ohta, K. Kajiwara, J. Satsuma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9411006 |
| URL | https://arxiv.org/abs/solv-int/9411006 |
Abstract
Bilinear structure for the discrete Painlev\'e I equation is investigated. The solution on semi-infinite lattice is given in terms of the Casorati determinant of discrete Airy function. Based on this fact, the discrete Painlev\'e I equation is naturally extended to a discrete coupled system. Corresponding matrix model is also mentioned.
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"abstract": "Bilinear structure for the discrete Painlev\\\u0027e I equation is investigated.\nThe solution on semi-infinite lattice is given in terms of the Casorati\ndeterminant of discrete Airy function. Based on this fact, the discrete\nPainlev\\\u0027e I equation is naturally extended to a discrete coupled system.\nCorresponding matrix model is also mentioned.",
"arxiv_id": "solv-int/9411006",
"authors": [
"Y. Ohta",
"K. Kajiwara",
"J. Satsuma"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"title": "Bilinear Structure and Exact Solutions of the Discrete Painlev\\\u0027e I Equation",
"url": "https://arxiv.org/abs/solv-int/9411006"
},
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