The nxn KdV flows
可精确求解与可积系统
2014-05-20 v2 微分几何
摘要
We introduce a new integrable system hierarchy which is a restriction of the AKNS nxn hierarchy coming from an unusual splitting of the loop algebra. This splitting comes from an automorphism of the loop algebra instead of an automorphism of SL(n,C). It is known that the 2x2 KdV is the standard KdV hierarchy.
引用
@article{arxiv.nlin/0611006,
title = {The nxn KdV flows},
author = {Chuu-Lian Terng and Karen Uhlenbeck},
journal= {arXiv preprint arXiv:nlin/0611006},
year = {2014}
}
备注
We move section 4 and 5 of version 1 to a new paper titled "Tau function and Virasoro action for the nxn KdV hierarchy"