Linearisable third order ordinary differential equations and generalised Sundman transformations
可精确求解与可积系统
2007-05-23 v1 经典分析与常微分方程
摘要
We calculate in detail the conditions which allow the most general third order ordinary differential equation to be linearised in X'''(T)=0 under the transformation X(T)=F(x,t), dT=G(x,t)dt. Further generalisations are considered.
引用
@article{arxiv.nlin/0203028,
title = {Linearisable third order ordinary differential equations and generalised Sundman transformations},
author = {N. Euler and T. Wolf and P. G. L. Leach and M. Euler},
journal= {arXiv preprint arXiv:nlin/0203028},
year = {2007}
}
备注
33 pages