Discrete equations and the singular manifold method
solv-int
2007-05-23 v1 可精确求解与可积系统
摘要
The Painleve expansion for the second Painleve equation (PII) and fourth Painleve equation (PIV) have two branches. The singular manifold method therefore requires two singular manifolds. The double singular manifold method is used to derive Miura transformations from PII and PIV to modified Painleve type equations for which auto-Backlund transformations are obtained. These auto-Backlund transformations can be used to obtain discrete equations.
引用
@article{arxiv.solv-int/9904002,
title = {Discrete equations and the singular manifold method},
author = {P. G. Estevez and P. A. Clarkson},
journal= {arXiv preprint arXiv:solv-int/9904002},
year = {2007}
}
备注
to appear in SIDE III proceedings