dorsal/arxiv
View SchemaToda-Darboux maps and vertex operators
| Authors | M. Adler, P. van Moerbeke |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9712016 |
| URL | https://arxiv.org/abs/solv-int/9712016 |
Abstract
The purpose of this paper is to study Toda-Darboux transforms, i.e., Darboux transforms for operators L(t) flowing according to the Toda lattice. Each element of the null-space $L(t)-z$ specifies a factorization for all t and thus a Toda-Darboux transform on $L(t)$. The Toda-Darboux map induces a transformation on the tau-vectors, given by a certain vertex operator, and on eigenfunctions, given by a Wronskian. .
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"abstract": "The purpose of this paper is to study Toda-Darboux transforms, i.e., Darboux\ntransforms for operators L(t) flowing according to the Toda lattice. Each\nelement of the null-space $L(t)-z$ specifies a factorization for all t and thus\na Toda-Darboux transform on $L(t)$. The Toda-Darboux map induces a\ntransformation on the tau-vectors, given by a certain vertex operator, and on\neigenfunctions, given by a Wronskian. .",
"arxiv_id": "solv-int/9712016",
"authors": [
"M. Adler",
"P. van Moerbeke"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Toda-Darboux maps and vertex operators",
"url": "https://arxiv.org/abs/solv-int/9712016"
},
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