dorsal/arxiv
View SchemaDiscrete Toda Field Equations
| Authors | R. S. Ward |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9502002 |
| URL | https://arxiv.org/abs/solv-int/9502002 |
| DOI | 10.1016/0375-9601(95)00108-F |
Abstract
There are two-dimensional Toda field equations corresponding to each (finite or affine) Lie algebra. The question addressed in this note is whether there exist integrable discrete versions of these. It is shown that for certain algebras (such as $A_n$, $A_n^{(1)}$ and $B_n$) there do, but some of these systems are defined on the half-plane rather than the full two-dimensional lattice.
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"abstract": "There are two-dimensional Toda field equations corresponding to each (finite\nor affine) Lie algebra. The question addressed in this note is whether there\nexist integrable discrete versions of these. It is shown that for certain\nalgebras (such as $A_n$, $A_n^{(1)}$ and $B_n$) there do, but some of these\nsystems are defined on the half-plane rather than the full two-dimensional\nlattice.",
"arxiv_id": "solv-int/9502002",
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"doi": "10.1016/0375-9601(95)00108-F",
"title": "Discrete Toda Field Equations",
"url": "https://arxiv.org/abs/solv-int/9502002"
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