dorsal/arxiv
View SchemaA new explicit expression for the Korteweg-De Vries hierarchy
| Authors | Ivan G. Avramidi, Rainer Schimming |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9710009 |
| URL | https://arxiv.org/abs/solv-int/9710009 |
| Journal | Math.Nachr. 219 (2000) 45-64 |
Abstract
We derive an improved fully explicit expression for the right-hand sides of the matrix KdV hierarchy using the relation to the heat kernel of the one-dimensional Schr\"odinger operator. Our method of "matrix elements" produces, moreover, an explicit expression for the powers of a Schr\"odinger-like differential operator of any order.
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"abstract": "We derive an improved fully explicit expression for the right-hand sides of\nthe matrix KdV hierarchy using the relation to the heat kernel of the\none-dimensional Schr\\\"odinger operator. Our method of \"matrix elements\"\nproduces, moreover, an explicit expression for the powers of a\nSchr\\\"odinger-like differential operator of any order.",
"arxiv_id": "solv-int/9710009",
"authors": [
"Ivan G. Avramidi",
"Rainer Schimming"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"journal_ref": "Math.Nachr. 219 (2000) 45-64",
"title": "A new explicit expression for the Korteweg-De Vries hierarchy",
"url": "https://arxiv.org/abs/solv-int/9710009"
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