Linearisable systems and the Gambier approach
可精确求解与可积系统
2007-05-23 v1
摘要
A systematic study of the discrete second order projective system is presented, complemented by the integrability analysis of the associated multilinear mapping. Moreover, we show how we can obtain third order integrable equations as the coupling of a Riccati equation with second order Painlev\'e equations. This is done in both continuous and discrete cases.
引用
@article{arxiv.nlin/0104018,
title = {Linearisable systems and the Gambier approach},
author = {S. Lafortune and B. Grammaticos and A. Ramani},
journal= {arXiv preprint arXiv:nlin/0104018},
year = {2007}
}
备注
8 pages, no figure