The nxn KdV flows
Exactly Solvable and Integrable Systems
2014-05-20 v2 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0611006,
title = {The nxn KdV flows},
author = {Chuu-Lian Terng and Karen Uhlenbeck},
journal= {arXiv preprint arXiv:nlin/0611006},
year = {2014}
}
Comments
We move section 4 and 5 of version 1 to a new paper titled "Tau function and Virasoro action for the nxn KdV hierarchy"