dorsal/arxiv
View SchemaDiscrete Painleve equations: coalescences, limits and degeneracies
| Authors | A. Ramani, B. Grammaticos |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9510011 |
| URL | https://arxiv.org/abs/solv-int/9510011 |
| DOI | 10.1016/0378-4371(95)00439-4 |
Abstract
Starting from the standard form of the five discrete Painlev\'e equations we show how one can obtain (through appropriate limits) a host of new equations which are also the discrete analogues of the continuous Painlev\'e equations. A particularly interesting technique is the one based on the assumption that some simplification takes place in the autonomous form of the mapping following which the deautonomization leads to a new $n$-dependence and introduces more new discrete Painlev\'e equations.
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"abstract": "Starting from the standard form of the five discrete Painlev\\\u0027e equations we\nshow how one can obtain (through appropriate limits) a host of new equations\nwhich are also the discrete analogues of the continuous Painlev\\\u0027e equations. A\nparticularly interesting technique is the one based on the assumption that some\nsimplification takes place in the autonomous form of the mapping following\nwhich the deautonomization leads to a new $n$-dependence and introduces more\nnew discrete Painlev\\\u0027e equations.",
"arxiv_id": "solv-int/9510011",
"authors": [
"A. Ramani",
"B. Grammaticos"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/0378-4371(95)00439-4",
"title": "Discrete Painleve equations: coalescences, limits and degeneracies",
"url": "https://arxiv.org/abs/solv-int/9510011"
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