Tau-functions and special solutions in a coupled Painlev\'e system
可精确求解与可积系统
2007-05-23 v1
摘要
For a pair of coupled Painlev\'e equations obtained as a similarity reduction of the Hirota-Satsuma systems we describe special parameter-families of solutions given in terms of mixtures of rational and Airy functions, and in terms of a second Painlev\'e transcendent. The tau-functions associated to some of these solutions are also given explicitly.
引用
@article{arxiv.nlin/0209030,
title = {Tau-functions and special solutions in a coupled Painlev\'e system},
author = {A. N. W. Hone},
journal= {arXiv preprint arXiv:nlin/0209030},
year = {2007}
}
备注
Poster from NEEDS 2001, Cambridge