Symmetry, singularities and integrability in complex dynamics I: the reduction problem
可精确求解与可积系统
2017-02-08 v2 数学物理
math.MP
摘要
Quadratic systems generated using Yang-Baxter equations are integrable in a sense, but we display a deterioration in the possession of the Painlev\'e property as the number of equations in each `integrable system' increases. Certain intermediate systems are constructed and also tested for the Painlev\'e property. The Lie symmetries are also computed for completeness.
引用
@article{arxiv.nlin/0011001,
title = {Symmetry, singularities and integrability in complex dynamics I: the reduction problem},
author = {Peter Leach and Spiros Cotsakis and George P. Flessas},
journal= {arXiv preprint arXiv:nlin/0011001},
year = {2017}
}