关于离散 Chen-Lee-Liu 层次系的准周期解
代数几何
2013-04-17 v2
摘要
借助 Lax 矩阵和椭圆变量，将离散 Chen-Lee-Liu 层次系分解为可解的常微分方程。基于代数曲线理论，在 Abel-Jacobi 坐标下将与此离散 Chen-Lee-Liu 层次系相关的连续流和离散流拉直。引入亚纯函数 、Baker-Akhiezer 向量 和超椭圆曲线 ，并根据 和 的渐近性质和代数几何特征，构造了离散 Chen-Lee-Liu 层次系的准周期解。
引用
@article{arxiv.1304.1607,
title = {On quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy},
author = {Xianguo Geng and Xin Zeng},
journal= {arXiv preprint arXiv:1304.1607},
year = {2013}
}
备注
This paper has been withdrawn by the author. In order submit the paper to the SIGMA, I submit the paper to arXiv, but The SIGMA think this paper is not suitable for consideration in SIGMA So I hope withdrawn arXiv paper 1304.1607