dorsal/arxiv
View SchemaThe relation between the Toda hierarchy and the KdV hierarchy
| Authors | Yunbo Zeng, Runliang Lin, Xin Cao |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9812029 |
| URL | https://arxiv.org/abs/solv-int/9812029 |
| DOI | 10.1016/S0375-9601(98)00886-X |
Abstract
Under three relations connecting the field variables of Toda flows and that of KdV flows, we present three new sequences of combination of the equations in the Toda hierarchy which have the KdV hierarchy as a continuous limit. The relation between the Poisson structures of the KdV hierarchy and the Toda hierarchy in continuous limit is also studied.
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"date_created": "2026-03-02T18:02:51.278000Z",
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"abstract": "Under three relations connecting the field variables of Toda flows and that\nof KdV flows, we present three new sequences of combination of the equations in\nthe Toda hierarchy which have the KdV hierarchy as a continuous limit. The\nrelation between the Poisson structures of the KdV hierarchy and the Toda\nhierarchy in continuous limit is also studied.",
"arxiv_id": "solv-int/9812029",
"authors": [
"Yunbo Zeng",
"Runliang Lin",
"Xin Cao"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(98)00886-X",
"title": "The relation between the Toda hierarchy and the KdV hierarchy",
"url": "https://arxiv.org/abs/solv-int/9812029"
},
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