dorsal/arxiv
View SchemaAsymptotics of a Class of Solutions to the Cylindrical Toda Equations
| Authors | C. A. Tracy, H. Widom |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9701003 |
| URL | https://arxiv.org/abs/solv-int/9701003 |
| DOI | 10.1007/s002200050257 |
| Journal | Commun. Math. Phys 190 (1998) 697-721 |
Abstract
The small t asymptotics of a class of solutions to the 2D cylindrical Toda equations is computed. The solutions, q_k(t), have the representation q_k(t) = log det(I-lambda K_k) - log det(I-lambda K_{k-1}) where K_k are integral operators. This class includes the n-periodic cylindrical Toda equations. For n=2 our results reduce to the previously computed asymptotics of the 2D radial sinh-Gordon equation and for n=3 (and with an additional symmetry contraint) they reduce to earlier results for the radial Bullough-Dodd equation.
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"abstract": "The small t asymptotics of a class of solutions to the 2D cylindrical Toda\nequations is computed. The solutions, q_k(t), have the representation q_k(t) =\nlog det(I-lambda K_k) - log det(I-lambda K_{k-1}) where K_k are integral\noperators. This class includes the n-periodic cylindrical Toda equations. For\nn=2 our results reduce to the previously computed asymptotics of the 2D radial\nsinh-Gordon equation and for n=3 (and with an additional symmetry contraint)\nthey reduce to earlier results for the radial Bullough-Dodd equation.",
"arxiv_id": "solv-int/9701003",
"authors": [
"C. A. Tracy",
"H. Widom"
],
"categories": [
"solv-int",
"funct-an",
"math.FA",
"nlin.SI"
],
"doi": "10.1007/s002200050257",
"journal_ref": "Commun. Math. Phys 190 (1998) 697-721",
"title": "Asymptotics of a Class of Solutions to the Cylindrical Toda Equations",
"url": "https://arxiv.org/abs/solv-int/9701003"
},
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