dorsal/arxiv
View SchemaA Note on Fractional KdV Hierarchies
| Authors | Paolo Casati, Gregorio Falqui, Franco Magri, Marco Pedroni |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9606010 |
| URL | https://arxiv.org/abs/solv-int/9606010 |
| DOI | 10.1063/1.532110 |
Abstract
We introduce a hierarchy of mutually commuting dynamical systems on a finite number of Laurent series. This hierarchy can be seen as a prolongation of the KP hierarchy, or a ``reduction'' in which the space coordinate is identified with an arbitrarily chosen time of a bigger dynamical system. Fractional KdV hierarchies are gotten by means of further reductions, obtained by constraining the Laurent series. The case of sl(3)^2 and its bihamiltonian structure are discussed in detail.
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"abstract": "We introduce a hierarchy of mutually commuting dynamical systems on a finite\nnumber of Laurent series. This hierarchy can be seen as a prolongation of the\nKP hierarchy, or a ``reduction\u0027\u0027 in which the space coordinate is identified\nwith an arbitrarily chosen time of a bigger dynamical system. Fractional KdV\nhierarchies are gotten by means of further reductions, obtained by constraining\nthe Laurent series. The case of sl(3)^2 and its bihamiltonian structure are\ndiscussed in detail.",
"arxiv_id": "solv-int/9606010",
"authors": [
"Paolo Casati",
"Gregorio Falqui",
"Franco Magri",
"Marco Pedroni"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.532110",
"title": "A Note on Fractional KdV Hierarchies",
"url": "https://arxiv.org/abs/solv-int/9606010"
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