离散 Dubrovin 方程与离散系统的变量分离
solv-int
2015-06-26 v1 可精确求解与可积系统
摘要
导出了一个与超椭圆曲线相关的普适差分方程组，构成了有限间隙积分理论中出现的 Dubrovin 方程的离散类比。讨论了用 Kleinian 型 Abel 函数（即 Weierstrass 椭圆函数的高亏格类比）对解进行参数化，以及其与变量分离方法的联系。
引用
@article{arxiv.solv-int/9907015,
title = {Discrete Dubrovin Equations and Separation of Variables for Discrete Systems},
author = {F. W. Nijhoff},
journal= {arXiv preprint arXiv:solv-int/9907015},
year = {2015}
}
备注
Talk presented at the Intl. Conf. on ``Integrability and Chaos in Discrete Systems'', July 2-6, 1997, to appear in: Chaos, Solitons and Fractals, ed. F. Lambert, (Pergamon Press)