dorsal/arxiv
View SchemaLinearization And Solutions Of The Discrete Painlev\'e-III Equation
| Authors | B. Grammaticos, F. W. Nijhoff, V. Papageorgiou, A. Ramani |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9310003 |
| URL | https://arxiv.org/abs/solv-int/9310003 |
| DOI | 10.1016/0375-9601(94)91124-X |
Abstract
We present particular solutions of the discrete Painlev\'e III (d-P$\rm_{III}$) equation of rational and special function (Bessel) type. These solutions allow us to establish a close parallel between this discrete equation and its continuous counterpart. Moreover, we propose an alternate form for d-P$\rm_{III}$ and confirm its integrability by explicitly deriving its Lax pair.
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"abstract": "We present particular solutions of the discrete Painlev\\\u0027e III\n(d-P$\\rm_{III}$) equation of rational and special function (Bessel) type. These\nsolutions allow us to establish a close parallel between this discrete equation\nand its continuous counterpart. Moreover, we propose an alternate form for\nd-P$\\rm_{III}$ and confirm its integrability by explicitly deriving its Lax\npair.",
"arxiv_id": "solv-int/9310003",
"authors": [
"B. Grammaticos",
"F. W. Nijhoff",
"V. Papageorgiou",
"A. Ramani"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/0375-9601(94)91124-X",
"title": "Linearization And Solutions Of The Discrete Painlev\\\u0027e-III Equation",
"url": "https://arxiv.org/abs/solv-int/9310003"
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