dorsal/arxiv
View SchemaFrom Discrete to Continuous Painlev\'e Equations: A Bilinear Approach
| Authors | Y. Ohta, A. Ramani, B. Grammaticos, K. M. Tamizhmani |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9603002 |
| URL | https://arxiv.org/abs/solv-int/9603002 |
| DOI | 10.1016/0375-9601(96)00292-7 |
Abstract
We present the bilinear forms of the (continuous) Painlev\'e equations obtained from the continuous limit of the analogous expresssions for the discrete ones. The advantage of this method is that it leads to very symmetrical results. A new and interesting result is the bilinearization of the P$_{\rm VI}$ equation, something that was missing till now.
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"abstract": "We present the bilinear forms of the (continuous) Painlev\\\u0027e equations\nobtained from the continuous limit of the analogous expresssions for the\ndiscrete ones. The advantage of this method is that it leads to very\nsymmetrical results. A new and interesting result is the bilinearization of the\nP$_{\\rm VI}$ equation, something that was missing till now.",
"arxiv_id": "solv-int/9603002",
"authors": [
"Y. Ohta",
"A. Ramani",
"B. Grammaticos",
"K. M. Tamizhmani"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/0375-9601(96)00292-7",
"title": "From Discrete to Continuous Painlev\\\u0027e Equations: A Bilinear Approach",
"url": "https://arxiv.org/abs/solv-int/9603002"
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