dorsal/arxiv
View SchemaLegendre transformations on the triangular lattice
| Authors | V. E. Adler |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9808016 |
| URL | https://arxiv.org/abs/solv-int/9808016 |
| DOI | 10.1007/BF02467062 |
| Journal | Functional Analysis and Its Applications, 2000, Volume 34, Issue 1, pp 1-9 |
Abstract
The main purpose of the paper is to demonstrate that condition of invariance with respect to the Legendre transformations allows effectively isolate the class of integrable difference equations on the triangular lattice, which can be considered as discrete analogues of relativistic Toda type lattices. Some of obtained equations are new, up to the author knowledge. As an example, one of them is studied in more details, in particular, its higher continuous symmetries and zero curvature representation are found.
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"abstract": "The main purpose of the paper is to demonstrate that condition of invariance\nwith respect to the Legendre transformations allows effectively isolate the\nclass of integrable difference equations on the triangular lattice, which can\nbe considered as discrete analogues of relativistic Toda type lattices. Some of\nobtained equations are new, up to the author knowledge. As an example, one of\nthem is studied in more details, in particular, its higher continuous\nsymmetries and zero curvature representation are found.",
"arxiv_id": "solv-int/9808016",
"authors": [
"V. E. Adler"
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"doi": "10.1007/BF02467062",
"journal_ref": "Functional Analysis and Its Applications, 2000, Volume 34, Issue\n 1, pp 1-9",
"title": "Legendre transformations on the triangular lattice",
"url": "https://arxiv.org/abs/solv-int/9808016"
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