关于二次哈密顿量的一个“神秘”案例
可精确求解与可积系统
2008-04-24 v3 数学物理
经典分析与常微分方程
动力系统
math.MP
摘要
我们证明了Sokolov和Wolf最近使用Kovalevskaya-Lyapunov检验选出的二次哈密顿量的五种情况之一，未能通过Painleve可积性检验。
引用
@article{arxiv.nlin/0408027,
title = {On a 'Mysterious' Case of a Quadratic Hamiltonian},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:nlin/0408027},
year = {2008}
}
备注
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Presented at the XIII Annual Seminar 'Nonlinear Phenomena in Complex Systems', May 16-19, 2006, Minsk, Belarus