dorsal/arxiv
View SchemaDiscrete Dubrovin Equations and Separation of Variables for Discrete Systems
| Authors | F. W. Nijhoff |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9907015 |
| URL | https://arxiv.org/abs/solv-int/9907015 |
| DOI | 10.1016/S0960-0779(98)00264-1 |
Abstract
A universal system of difference equations associated with a hyperelliptic curve is derived constituting the discrete analogue of the Dubrovin equations arising in the theory of finite-gap integration. The parametrisation of the solutions in terms of Abelian functions of Kleinian type (i.e. the higher-genus analogues of the Weierstrass elliptic functions) is discussed as well as the connections with the method of separation of variables.
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"abstract": "A universal system of difference equations associated with a hyperelliptic\ncurve is derived constituting the discrete analogue of the Dubrovin equations\narising in the theory of finite-gap integration. The parametrisation of the\nsolutions in terms of Abelian functions of Kleinian type (i.e. the higher-genus\nanalogues of the Weierstrass elliptic functions) is discussed as well as the\nconnections with the method of separation of variables.",
"arxiv_id": "solv-int/9907015",
"authors": [
"F. W. Nijhoff"
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"doi": "10.1016/S0960-0779(98)00264-1",
"title": "Discrete Dubrovin Equations and Separation of Variables for Discrete Systems",
"url": "https://arxiv.org/abs/solv-int/9907015"
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