离散 Painlevé I 方程的双线性结构及其精确解
solv-int
2008-02-03 v1 高能物理 - 理论
可精确求解与可积系统
摘要
研究了离散 Painlevé I 方程的双线性结构。在半无限格点上的解由离散 Airy 函数的 Casorati 行列式给出。基于此事实，离散 Painlevé I 方程被自然地推广为一个离散耦合系统。相应的矩阵模型亦被提及。
引用
@article{arxiv.solv-int/9411006,
title = {Bilinear Structure and Exact Solutions of the Discrete Painlev\'e I Equation},
author = {Y. Ohta and K. Kajiwara and J. Satsuma},
journal= {arXiv preprint arXiv:solv-int/9411006},
year = {2008}
}
备注
6 pages in LaTeX, to appear in Proceedings of the Workshop on Symmetries and Integrability of Difference Equations, CRM Proceedings and Lecture Notes Series, AMS, 1994