关于椭圆格点方程的椭圆Lax对与等单值变形系统
可精确求解与可积系统
2016-05-04 v1
摘要
在先前文章[N. Delice, F.W. Nijhoff and S. Yoo-Kong, J. Phys. A: Math. Theor. 48(3) (2015), 035206]中,引入了一类用于可积格点方程的新型椭圆Lax对。本文提出对这些Lax对进行去自治化,从而导出一类椭圆离散等单值变形问题。我们利用一些(可能是新颖的)高阶椭圆恒等式分析了相容性条件系统。
引用
@article{arxiv.1605.00829,
title = {On elliptic Lax pairs and isomonodromic deformation systems for elliptic lattice equations},
author = {Frank Nijhoff and Neslihan Delice},
journal= {arXiv preprint arXiv:1605.00829},
year = {2016}
}
备注
38 pages, 2 figures, submitted to the Proceedings of the workshop on Representation Theory, Special Functions and Painleve Equations, RIMS, Kyoto, March 3-6, 2015